[831] | 1 | // |
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| 2 | // ******************************************************************** |
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| 3 | // * License and Disclaimer * |
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| 4 | // * * |
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| 5 | // * The Geant4 software is copyright of the Copyright Holders of * |
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and * |
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| 7 | // * conditions of the Geant4 Software License, included in the file * |
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These * |
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| 9 | // * include a list of copyright holders. * |
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| 10 | // * * |
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| 11 | // * Neither the authors of this software system, nor their employing * |
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| 12 | // * institutes,nor the agencies providing financial support for this * |
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| 13 | // * work make any representation or warranty, express or implied, * |
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| 14 | // * regarding this software system or assume any liability for its * |
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| 15 | // * use. Please see the license in the file LICENSE and URL above * |
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| 16 | // * for the full disclaimer and the limitation of liability. * |
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| 17 | // * * |
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| 18 | // * This code implementation is the result of the scientific and * |
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| 19 | // * technical work of the GEANT4 collaboration. * |
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| 20 | // * By using, copying, modifying or distributing the software (or * |
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| 21 | // * any work based on the software) you agree to acknowledge its * |
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| 22 | // * use in resulting scientific publications, and indicate your * |
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| 23 | // * acceptance of all terms of the Geant4 Software license. * |
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| 24 | // ******************************************************************** |
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| 25 | // |
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| 26 | // |
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[850] | 27 | // $Id: G4Sphere.cc,v 1.68 2008/07/07 09:35:16 grichine Exp $ |
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| 28 | // GEANT4 tag $Name: HEAD $ |
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[831] | 29 | // |
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| 30 | // class G4Sphere |
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| 31 | // |
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| 32 | // Implementation for G4Sphere class |
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| 33 | // |
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| 34 | // History: |
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| 35 | // |
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[850] | 36 | // 12.06.08 V.Grichine: fix for theta intersections in DistanceToOut(p,v,...) |
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[831] | 37 | // 22.07.05 O.Link : Added check for intersection with double cone |
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| 38 | // 03.05.05 V.Grichine: SurfaceNormal(p) according to J. Apostolakis proposal |
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| 39 | // 16.09.04 V.Grichine: bug fixed in SurfaceNormal(p), theta normals |
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| 40 | // 16.07.04 V.Grichine: bug fixed in DistanceToOut(p,v), Rmin go outside |
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| 41 | // 02.06.04 V.Grichine: bug fixed in DistanceToIn(p,v), on Rmax,Rmin go inside |
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| 42 | // 30.10.03 J.Apostolakis: new algorithm in Inside for SPhi-sections |
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| 43 | // 29.10.03 J.Apostolakis: fix in Inside for SPhi-0.5*kAngTol < phi < SPhi, SPhi<0 |
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| 44 | // 19.06.02 V.Grichine: bug fixed in Inside(p), && -> && fDTheta - kAngTolerance |
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| 45 | // 30.01.02 V.Grichine: bug fixed in Inside(p), && -> || at l.451 |
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| 46 | // 06.03.00 V.Grichine: modifications in Distance ToOut(p,v,...) |
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| 47 | // 18.11.99 V.Grichine: side = kNull in Distance ToOut(p,v,...) |
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| 48 | // 25.11.98 V.Grichine: bug fixed in DistanceToIn(p,v), phi intersections |
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| 49 | // 12.11.98 V.Grichine: bug fixed in DistanceToIn(p,v), theta intersections |
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[850] | 50 | // 09.10.98 V.Grichine: modifications in DistanceToOut(p,v,...) |
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[831] | 51 | // 17.09.96 V.Grichine: final modifications to commit |
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| 52 | // 28.03.94 P.Kent: old C++ code converted to tolerant geometry |
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| 53 | // -------------------------------------------------------------------- |
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| 54 | |
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| 55 | #include <assert.h> |
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| 56 | |
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| 57 | #include "G4Sphere.hh" |
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| 58 | |
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| 59 | #include "G4VoxelLimits.hh" |
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| 60 | #include "G4AffineTransform.hh" |
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| 61 | #include "G4GeometryTolerance.hh" |
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| 62 | |
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| 63 | #include "G4VPVParameterisation.hh" |
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| 64 | |
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| 65 | #include "Randomize.hh" |
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| 66 | |
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| 67 | #include "meshdefs.hh" |
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| 68 | |
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| 69 | #include "G4VGraphicsScene.hh" |
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| 70 | #include "G4VisExtent.hh" |
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| 71 | #include "G4Polyhedron.hh" |
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| 72 | #include "G4NURBS.hh" |
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| 73 | #include "G4NURBSbox.hh" |
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| 74 | |
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| 75 | using namespace CLHEP; |
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| 76 | |
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| 77 | // Private enum: Not for external use - used by distanceToOut |
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| 78 | |
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| 79 | enum ESide {kNull,kRMin,kRMax,kSPhi,kEPhi,kSTheta,kETheta}; |
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| 80 | |
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| 81 | // used by normal |
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| 82 | |
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| 83 | enum ENorm {kNRMin,kNRMax,kNSPhi,kNEPhi,kNSTheta,kNETheta}; |
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| 84 | |
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| 85 | //////////////////////////////////////////////////////////////////////// |
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| 86 | // |
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| 87 | // constructor - check parameters, convert angles so 0<sphi+dpshi<=2_PI |
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| 88 | // - note if pDPhi>2PI then reset to 2PI |
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| 89 | |
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| 90 | G4Sphere::G4Sphere( const G4String& pName, |
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| 91 | G4double pRmin, G4double pRmax, |
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| 92 | G4double pSPhi, G4double pDPhi, |
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| 93 | G4double pSTheta, G4double pDTheta ) |
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| 94 | : G4CSGSolid(pName) |
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| 95 | { |
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| 96 | fEpsilon = 1.0e-14; |
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| 97 | |
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| 98 | kRadTolerance = G4GeometryTolerance::GetInstance()->GetRadialTolerance(); |
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| 99 | kAngTolerance = G4GeometryTolerance::GetInstance()->GetAngularTolerance(); |
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| 100 | |
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| 101 | // Check radii |
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| 102 | |
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| 103 | if (pRmin<pRmax&&pRmin>=0) |
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| 104 | { |
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| 105 | fRmin=pRmin; fRmax=pRmax; |
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| 106 | } |
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| 107 | else |
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| 108 | { |
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| 109 | G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl |
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| 110 | << " Invalide values for radii ! - " |
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| 111 | << " pRmin = " << pRmin << ", pRmax = " << pRmax << G4endl; |
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| 112 | G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException, |
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| 113 | "Invalid radii"); |
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| 114 | } |
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| 115 | |
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| 116 | // Check angles |
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| 117 | |
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| 118 | if (pDPhi>=twopi) |
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| 119 | { |
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| 120 | fDPhi=twopi; |
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| 121 | } |
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| 122 | else if (pDPhi>0) |
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| 123 | { |
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| 124 | fDPhi=pDPhi; |
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| 125 | } |
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| 126 | else |
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| 127 | { |
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| 128 | G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl |
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| 129 | << " Negative Z delta-Phi ! - " |
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| 130 | << pDPhi << G4endl; |
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| 131 | G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException, |
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| 132 | "Invalid DPhi."); |
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| 133 | } |
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| 134 | |
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| 135 | // Convert fSPhi to 0-2PI |
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| 136 | |
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| 137 | if (pSPhi<0) |
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| 138 | { |
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| 139 | fSPhi=twopi-std::fmod(std::fabs(pSPhi),twopi); |
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| 140 | } |
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| 141 | else |
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| 142 | { |
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| 143 | fSPhi=std::fmod(pSPhi,twopi); |
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| 144 | } |
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| 145 | |
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| 146 | // Sphere is placed such that fSPhi+fDPhi>twopi ! |
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| 147 | // fSPhi could be < 0 !!? |
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| 148 | // |
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| 149 | if (fSPhi+fDPhi>twopi) fSPhi-=twopi; |
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| 150 | |
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| 151 | // Check theta angles |
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| 152 | |
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| 153 | if (pSTheta<0 || pSTheta>pi) |
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| 154 | { |
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| 155 | G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl; |
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| 156 | G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException, |
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| 157 | "stheta outside 0-PI range."); |
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| 158 | } |
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| 159 | else |
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| 160 | { |
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| 161 | fSTheta=pSTheta; |
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| 162 | } |
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| 163 | |
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| 164 | if (pDTheta+pSTheta>=pi) |
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| 165 | { |
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| 166 | fDTheta=pi-pSTheta; |
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| 167 | } |
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| 168 | else if (pDTheta>0) |
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| 169 | { |
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| 170 | fDTheta=pDTheta; |
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| 171 | } |
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| 172 | else |
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| 173 | { |
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| 174 | G4cerr << "ERROR - G4Sphere()::G4Sphere(): " << GetName() << G4endl |
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| 175 | << " Negative delta-Theta ! - " |
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| 176 | << pDTheta << G4endl; |
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| 177 | G4Exception("G4Sphere::G4Sphere()", "InvalidSetup", FatalException, |
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| 178 | "Invalid pDTheta."); |
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| 179 | } |
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| 180 | } |
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| 181 | |
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| 182 | /////////////////////////////////////////////////////////////////////// |
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| 183 | // |
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| 184 | // Fake default constructor - sets only member data and allocates memory |
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| 185 | // for usage restricted to object persistency. |
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| 186 | // |
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| 187 | G4Sphere::G4Sphere( __void__& a ) |
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| 188 | : G4CSGSolid(a) |
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| 189 | { |
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| 190 | } |
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| 191 | |
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| 192 | ///////////////////////////////////////////////////////////////////// |
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| 193 | // |
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| 194 | // Destructor |
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| 195 | |
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| 196 | G4Sphere::~G4Sphere() |
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| 197 | { |
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| 198 | } |
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| 199 | |
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| 200 | ////////////////////////////////////////////////////////////////////////// |
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| 201 | // |
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| 202 | // Dispatch to parameterisation for replication mechanism dimension |
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| 203 | // computation & modification. |
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| 204 | |
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| 205 | void G4Sphere::ComputeDimensions( G4VPVParameterisation* p, |
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| 206 | const G4int n, |
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| 207 | const G4VPhysicalVolume* pRep) |
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| 208 | { |
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| 209 | p->ComputeDimensions(*this,n,pRep); |
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| 210 | } |
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| 211 | |
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| 212 | //////////////////////////////////////////////////////////////////////////// |
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| 213 | // |
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| 214 | // Calculate extent under transform and specified limit |
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| 215 | |
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| 216 | G4bool G4Sphere::CalculateExtent( const EAxis pAxis, |
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| 217 | const G4VoxelLimits& pVoxelLimit, |
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| 218 | const G4AffineTransform& pTransform, |
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| 219 | G4double& pMin, G4double& pMax ) const |
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| 220 | { |
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| 221 | if ( fDPhi==twopi && fDTheta==pi) // !pTransform.IsRotated() && |
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| 222 | { |
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| 223 | // Special case handling for solid spheres-shells |
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| 224 | // (rotation doesn't influence). |
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| 225 | // Compute x/y/z mins and maxs for bounding box respecting limits, |
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| 226 | // with early returns if outside limits. Then switch() on pAxis, |
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| 227 | // and compute exact x and y limit for x/y case |
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| 228 | |
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| 229 | G4double xoffset,xMin,xMax; |
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| 230 | G4double yoffset,yMin,yMax; |
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| 231 | G4double zoffset,zMin,zMax; |
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| 232 | |
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| 233 | G4double diff1,diff2,maxDiff,newMin,newMax; |
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| 234 | G4double xoff1,xoff2,yoff1,yoff2; |
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| 235 | |
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| 236 | xoffset=pTransform.NetTranslation().x(); |
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| 237 | xMin=xoffset-fRmax; |
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| 238 | xMax=xoffset+fRmax; |
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| 239 | if (pVoxelLimit.IsXLimited()) |
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| 240 | { |
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| 241 | if ( (xMin>pVoxelLimit.GetMaxXExtent()+kCarTolerance) |
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| 242 | || (xMax<pVoxelLimit.GetMinXExtent()-kCarTolerance) ) |
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| 243 | { |
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| 244 | return false; |
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| 245 | } |
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| 246 | else |
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| 247 | { |
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| 248 | if (xMin<pVoxelLimit.GetMinXExtent()) |
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| 249 | { |
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| 250 | xMin=pVoxelLimit.GetMinXExtent(); |
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| 251 | } |
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| 252 | if (xMax>pVoxelLimit.GetMaxXExtent()) |
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| 253 | { |
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| 254 | xMax=pVoxelLimit.GetMaxXExtent(); |
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| 255 | } |
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| 256 | } |
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| 257 | } |
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| 258 | |
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| 259 | yoffset=pTransform.NetTranslation().y(); |
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| 260 | yMin=yoffset-fRmax; |
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| 261 | yMax=yoffset+fRmax; |
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| 262 | if (pVoxelLimit.IsYLimited()) |
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| 263 | { |
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| 264 | if ( (yMin>pVoxelLimit.GetMaxYExtent()+kCarTolerance) |
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| 265 | || (yMax<pVoxelLimit.GetMinYExtent()-kCarTolerance) ) |
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| 266 | { |
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| 267 | return false; |
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| 268 | } |
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| 269 | else |
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| 270 | { |
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| 271 | if (yMin<pVoxelLimit.GetMinYExtent()) |
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| 272 | { |
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| 273 | yMin=pVoxelLimit.GetMinYExtent(); |
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| 274 | } |
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| 275 | if (yMax>pVoxelLimit.GetMaxYExtent()) |
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| 276 | { |
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| 277 | yMax=pVoxelLimit.GetMaxYExtent(); |
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| 278 | } |
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| 279 | } |
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| 280 | } |
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| 281 | |
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| 282 | zoffset=pTransform.NetTranslation().z(); |
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| 283 | zMin=zoffset-fRmax; |
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| 284 | zMax=zoffset+fRmax; |
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| 285 | if (pVoxelLimit.IsZLimited()) |
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| 286 | { |
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| 287 | if ( (zMin>pVoxelLimit.GetMaxZExtent()+kCarTolerance) |
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| 288 | || (zMax<pVoxelLimit.GetMinZExtent()-kCarTolerance) ) |
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| 289 | { |
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| 290 | return false; |
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| 291 | } |
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| 292 | else |
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| 293 | { |
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| 294 | if (zMin<pVoxelLimit.GetMinZExtent()) |
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| 295 | { |
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| 296 | zMin=pVoxelLimit.GetMinZExtent(); |
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| 297 | } |
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| 298 | if (zMax>pVoxelLimit.GetMaxZExtent()) |
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| 299 | { |
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| 300 | zMax=pVoxelLimit.GetMaxZExtent(); |
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| 301 | } |
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| 302 | } |
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| 303 | } |
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| 304 | |
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| 305 | // Known to cut sphere |
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| 306 | |
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| 307 | switch (pAxis) |
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| 308 | { |
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| 309 | case kXAxis: |
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| 310 | yoff1=yoffset-yMin; |
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| 311 | yoff2=yMax-yoffset; |
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| 312 | if (yoff1>=0&&yoff2>=0) |
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| 313 | { |
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| 314 | // Y limits cross max/min x => no change |
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| 315 | // |
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| 316 | pMin=xMin; |
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| 317 | pMax=xMax; |
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| 318 | } |
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| 319 | else |
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| 320 | { |
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| 321 | // Y limits don't cross max/min x => compute max delta x, |
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| 322 | // hence new mins/maxs |
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| 323 | // |
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| 324 | diff1=std::sqrt(fRmax*fRmax-yoff1*yoff1); |
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| 325 | diff2=std::sqrt(fRmax*fRmax-yoff2*yoff2); |
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| 326 | maxDiff=(diff1>diff2) ? diff1:diff2; |
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| 327 | newMin=xoffset-maxDiff; |
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| 328 | newMax=xoffset+maxDiff; |
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| 329 | pMin=(newMin<xMin) ? xMin : newMin; |
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| 330 | pMax=(newMax>xMax) ? xMax : newMax; |
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| 331 | } |
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| 332 | break; |
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| 333 | case kYAxis: |
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| 334 | xoff1=xoffset-xMin; |
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| 335 | xoff2=xMax-xoffset; |
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| 336 | if (xoff1>=0&&xoff2>=0) |
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| 337 | { |
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| 338 | // X limits cross max/min y => no change |
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| 339 | // |
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| 340 | pMin=yMin; |
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| 341 | pMax=yMax; |
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| 342 | } |
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| 343 | else |
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| 344 | { |
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| 345 | // X limits don't cross max/min y => compute max delta y, |
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| 346 | // hence new mins/maxs |
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| 347 | // |
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| 348 | diff1=std::sqrt(fRmax*fRmax-xoff1*xoff1); |
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| 349 | diff2=std::sqrt(fRmax*fRmax-xoff2*xoff2); |
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| 350 | maxDiff=(diff1>diff2) ? diff1:diff2; |
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| 351 | newMin=yoffset-maxDiff; |
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| 352 | newMax=yoffset+maxDiff; |
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| 353 | pMin=(newMin<yMin) ? yMin : newMin; |
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| 354 | pMax=(newMax>yMax) ? yMax : newMax; |
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| 355 | } |
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| 356 | break; |
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| 357 | case kZAxis: |
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| 358 | pMin=zMin; |
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| 359 | pMax=zMax; |
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| 360 | break; |
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| 361 | default: |
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| 362 | break; |
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| 363 | } |
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| 364 | pMin-=kCarTolerance; |
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| 365 | pMax+=kCarTolerance; |
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| 366 | |
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| 367 | return true; |
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| 368 | } |
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| 369 | else // Transformed cutted sphere |
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| 370 | { |
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| 371 | G4int i,j,noEntries,noBetweenSections; |
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| 372 | G4bool existsAfterClip=false; |
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| 373 | |
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| 374 | // Calculate rotated vertex coordinates |
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| 375 | |
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| 376 | G4ThreeVectorList* vertices; |
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| 377 | G4int noPolygonVertices ; |
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| 378 | vertices=CreateRotatedVertices(pTransform,noPolygonVertices); |
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| 379 | |
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| 380 | pMin=+kInfinity; |
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| 381 | pMax=-kInfinity; |
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| 382 | |
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| 383 | noEntries=vertices->size(); // noPolygonVertices*noPhiCrossSections |
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| 384 | noBetweenSections=noEntries-noPolygonVertices; |
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| 385 | |
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| 386 | G4ThreeVectorList ThetaPolygon ; |
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| 387 | for (i=0;i<noEntries;i+=noPolygonVertices) |
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| 388 | { |
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| 389 | for(j=0;j<(noPolygonVertices/2)-1;j++) |
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| 390 | { |
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| 391 | ThetaPolygon.push_back((*vertices)[i+j]) ; |
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| 392 | ThetaPolygon.push_back((*vertices)[i+j+1]) ; |
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| 393 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-2-j]) ; |
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| 394 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1-j]) ; |
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| 395 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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| 396 | ThetaPolygon.clear() ; |
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| 397 | } |
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| 398 | } |
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| 399 | for (i=0;i<noBetweenSections;i+=noPolygonVertices) |
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| 400 | { |
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| 401 | for(j=0;j<noPolygonVertices-1;j++) |
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| 402 | { |
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| 403 | ThetaPolygon.push_back((*vertices)[i+j]) ; |
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| 404 | ThetaPolygon.push_back((*vertices)[i+j+1]) ; |
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| 405 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j+1]) ; |
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| 406 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices+j]) ; |
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| 407 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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| 408 | ThetaPolygon.clear() ; |
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| 409 | } |
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| 410 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices-1]) ; |
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| 411 | ThetaPolygon.push_back((*vertices)[i]) ; |
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| 412 | ThetaPolygon.push_back((*vertices)[i+noPolygonVertices]) ; |
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| 413 | ThetaPolygon.push_back((*vertices)[i+2*noPolygonVertices-1]) ; |
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| 414 | CalculateClippedPolygonExtent(ThetaPolygon,pVoxelLimit,pAxis,pMin,pMax); |
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| 415 | ThetaPolygon.clear() ; |
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| 416 | } |
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| 417 | |
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| 418 | if (pMin!=kInfinity || pMax!=-kInfinity) |
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| 419 | { |
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| 420 | existsAfterClip=true; |
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| 421 | |
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| 422 | // Add 2*tolerance to avoid precision troubles |
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| 423 | // |
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| 424 | pMin-=kCarTolerance; |
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| 425 | pMax+=kCarTolerance; |
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| 426 | } |
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| 427 | else |
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| 428 | { |
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| 429 | // Check for case where completely enveloping clipping volume |
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| 430 | // If point inside then we are confident that the solid completely |
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| 431 | // envelopes the clipping volume. Hence set min/max extents according |
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| 432 | // to clipping volume extents along the specified axis. |
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| 433 | |
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| 434 | G4ThreeVector clipCentre( |
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| 435 | (pVoxelLimit.GetMinXExtent()+pVoxelLimit.GetMaxXExtent())*0.5, |
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| 436 | (pVoxelLimit.GetMinYExtent()+pVoxelLimit.GetMaxYExtent())*0.5, |
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| 437 | (pVoxelLimit.GetMinZExtent()+pVoxelLimit.GetMaxZExtent())*0.5); |
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| 438 | |
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| 439 | if (Inside(pTransform.Inverse().TransformPoint(clipCentre))!=kOutside) |
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| 440 | { |
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| 441 | existsAfterClip=true; |
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| 442 | pMin=pVoxelLimit.GetMinExtent(pAxis); |
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| 443 | pMax=pVoxelLimit.GetMaxExtent(pAxis); |
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| 444 | } |
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| 445 | } |
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| 446 | delete vertices; |
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| 447 | return existsAfterClip; |
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| 448 | } |
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| 449 | } |
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| 450 | |
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| 451 | /////////////////////////////////////////////////////////////////////////// |
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| 452 | // |
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| 453 | // Return whether point inside/outside/on surface |
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| 454 | // Split into radius, phi, theta checks |
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| 455 | // Each check modifies `in', or returns as approprate |
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| 456 | |
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| 457 | EInside G4Sphere::Inside( const G4ThreeVector& p ) const |
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| 458 | { |
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| 459 | G4double rho,rho2,rad2,tolRMin,tolRMax; |
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| 460 | G4double pPhi,pTheta; |
---|
| 461 | EInside in=kOutside; |
---|
| 462 | |
---|
| 463 | rho2 = p.x()*p.x() + p.y()*p.y() ; |
---|
| 464 | rad2 = rho2 + p.z()*p.z() ; |
---|
| 465 | |
---|
| 466 | // if(rad2 >= 1.369e+19) DBG(); |
---|
| 467 | // G4double rad = std::sqrt(rad2); |
---|
| 468 | // Check radial surfaces |
---|
| 469 | // sets `in' |
---|
| 470 | |
---|
| 471 | if ( fRmin ) tolRMin = fRmin + kRadTolerance*0.5; |
---|
| 472 | else tolRMin = 0 ; |
---|
| 473 | |
---|
| 474 | tolRMax = fRmax - kRadTolerance*0.5 ; |
---|
| 475 | // const G4double fractionTolerance = 1.0e-12; |
---|
| 476 | const G4double flexRadMaxTolerance = // kRadTolerance; |
---|
| 477 | std::max(kRadTolerance, fEpsilon * fRmax); |
---|
| 478 | |
---|
| 479 | const G4double Rmax_minus = fRmax - flexRadMaxTolerance*0.5; |
---|
| 480 | const G4double flexRadMinTolerance = std::max(kRadTolerance, |
---|
| 481 | fEpsilon * fRmin); |
---|
| 482 | const G4double Rmin_plus = (fRmin > 0) ? fRmin + flexRadMinTolerance*0.5 : 0 ; |
---|
| 483 | |
---|
| 484 | if(rad2 <= Rmax_minus*Rmax_minus && rad2 >= Rmin_plus*Rmin_plus) in = kInside ; |
---|
| 485 | |
---|
| 486 | // if ( rad2 <= tolRMax*tolRMax && rad2 >= tolRMin*tolRMin ) in = kInside ; |
---|
| 487 | // if ( rad <= tolRMax && rad >= tolRMin ) in = kInside ; |
---|
| 488 | else |
---|
| 489 | { |
---|
| 490 | tolRMax = fRmax + kRadTolerance*0.5 ; |
---|
| 491 | tolRMin = fRmin - kRadTolerance*0.5 ; |
---|
| 492 | |
---|
| 493 | if ( tolRMin < 0.0 ) tolRMin = 0.0 ; |
---|
| 494 | |
---|
| 495 | if ( rad2 <= tolRMax*tolRMax && rad2 >= tolRMin*tolRMin ) in = kSurface ; |
---|
| 496 | // if ( rad <= tolRMax && rad >= tolRMin ) in = kSurface ; |
---|
| 497 | else return in = kOutside ; |
---|
| 498 | } |
---|
| 499 | |
---|
| 500 | // Phi boundaries : Do not check if it has no phi boundary! |
---|
| 501 | // (in != kOutside). It is new J.Apostolakis proposal of 30.10.03 |
---|
| 502 | |
---|
| 503 | if ( ( fDPhi < twopi - kAngTolerance ) && |
---|
| 504 | ( (p.x() != 0.0 ) || (p.y() != 0.0) ) ) |
---|
| 505 | { |
---|
| 506 | pPhi = std::atan2(p.y(),p.x()) ; |
---|
| 507 | |
---|
| 508 | if ( pPhi < fSPhi - kAngTolerance*0.5 ) pPhi += twopi ; |
---|
| 509 | else if ( pPhi > fSPhi + fDPhi + kAngTolerance*0.5 ) pPhi -= twopi; |
---|
| 510 | |
---|
| 511 | if ((pPhi < fSPhi - kAngTolerance*0.5) || |
---|
| 512 | (pPhi > fSPhi + fDPhi + kAngTolerance*0.5) ) return in = kOutside ; |
---|
| 513 | |
---|
| 514 | else if (in == kInside) // else it's kSurface anyway already |
---|
| 515 | { |
---|
| 516 | if ( (pPhi < fSPhi + kAngTolerance*0.5) || |
---|
| 517 | (pPhi > fSPhi + fDPhi - kAngTolerance*0.5) ) in = kSurface ; |
---|
| 518 | } |
---|
| 519 | } |
---|
| 520 | |
---|
| 521 | // Theta bondaries |
---|
| 522 | // (in!=kOutside) |
---|
| 523 | |
---|
| 524 | if ( (rho2 || p.z()) && fDTheta < pi - kAngTolerance*0.5 ) |
---|
| 525 | { |
---|
| 526 | rho = std::sqrt(rho2); |
---|
| 527 | pTheta = std::atan2(rho,p.z()); |
---|
| 528 | |
---|
| 529 | if ( in == kInside ) |
---|
| 530 | { |
---|
| 531 | if ( (pTheta < fSTheta + kAngTolerance*0.5) |
---|
| 532 | || (pTheta > fSTheta + fDTheta - kAngTolerance*0.5) ) |
---|
| 533 | { |
---|
| 534 | if ( (pTheta >= fSTheta - kAngTolerance*0.5) |
---|
| 535 | && (pTheta <= fSTheta + fDTheta + kAngTolerance*0.5) ) |
---|
| 536 | { |
---|
| 537 | in = kSurface ; |
---|
| 538 | } |
---|
| 539 | else |
---|
| 540 | { |
---|
| 541 | in = kOutside ; |
---|
| 542 | } |
---|
| 543 | } |
---|
| 544 | } |
---|
| 545 | else |
---|
| 546 | { |
---|
| 547 | if ( (pTheta < fSTheta - kAngTolerance*0.5) |
---|
| 548 | || (pTheta > fSTheta + fDTheta + kAngTolerance*0.5) ) |
---|
| 549 | { |
---|
| 550 | in = kOutside ; |
---|
| 551 | } |
---|
| 552 | } |
---|
| 553 | } |
---|
| 554 | return in; |
---|
| 555 | } |
---|
| 556 | |
---|
| 557 | ///////////////////////////////////////////////////////////////////// |
---|
| 558 | // |
---|
| 559 | // Return unit normal of surface closest to p |
---|
| 560 | // - note if point on z axis, ignore phi divided sides |
---|
| 561 | // - unsafe if point close to z axis a rmin=0 - no explicit checks |
---|
| 562 | |
---|
| 563 | G4ThreeVector G4Sphere::SurfaceNormal( const G4ThreeVector& p ) const |
---|
| 564 | { |
---|
| 565 | G4int noSurfaces = 0; |
---|
| 566 | G4double rho, rho2, rad, pTheta, pPhi=0.; |
---|
| 567 | G4double distRMin = kInfinity; |
---|
| 568 | G4double distSPhi = kInfinity, distEPhi = kInfinity; |
---|
| 569 | G4double distSTheta = kInfinity, distETheta = kInfinity; |
---|
| 570 | G4double delta = 0.5*kCarTolerance, dAngle = 0.5*kAngTolerance; |
---|
| 571 | G4ThreeVector nR, nPs, nPe, nTs, nTe, nZ(0.,0.,1.); |
---|
| 572 | G4ThreeVector norm, sumnorm(0.,0.,0.); |
---|
| 573 | |
---|
| 574 | rho2 = p.x()*p.x()+p.y()*p.y(); |
---|
| 575 | rad = std::sqrt(rho2+p.z()*p.z()); |
---|
| 576 | rho = std::sqrt(rho2); |
---|
| 577 | |
---|
| 578 | G4double distRMax = std::fabs(rad-fRmax); |
---|
| 579 | if (fRmin) distRMin = std::fabs(rad-fRmin); |
---|
| 580 | |
---|
| 581 | if ( rho && (fDPhi < twopi || fDTheta < pi) ) |
---|
| 582 | { |
---|
| 583 | pPhi = std::atan2(p.y(),p.x()); |
---|
| 584 | |
---|
| 585 | if(pPhi < fSPhi-dAngle) pPhi += twopi; |
---|
| 586 | else if(pPhi > fSPhi+fDPhi+dAngle) pPhi -= twopi; |
---|
| 587 | } |
---|
| 588 | if ( fDPhi < twopi ) // && rho ) // old limitation against (0,0,z) |
---|
| 589 | { |
---|
| 590 | if ( rho ) |
---|
| 591 | { |
---|
| 592 | distSPhi = std::fabs( pPhi - fSPhi ); |
---|
| 593 | distEPhi = std::fabs(pPhi-fSPhi-fDPhi); |
---|
| 594 | } |
---|
| 595 | else if( !fRmin ) |
---|
| 596 | { |
---|
| 597 | distSPhi = 0.; |
---|
| 598 | distEPhi = 0.; |
---|
| 599 | } |
---|
| 600 | nPs = G4ThreeVector(std::sin(fSPhi),-std::cos(fSPhi),0); |
---|
| 601 | nPe = G4ThreeVector(-std::sin(fSPhi+fDPhi),std::cos(fSPhi+fDPhi),0); |
---|
| 602 | } |
---|
| 603 | if ( fDTheta < pi ) // && rad ) // old limitation against (0,0,0) |
---|
| 604 | { |
---|
| 605 | if ( rho ) |
---|
| 606 | { |
---|
| 607 | pTheta = std::atan2(rho,p.z()); |
---|
| 608 | distSTheta = std::fabs(pTheta-fSTheta); |
---|
| 609 | distETheta = std::fabs(pTheta-fSTheta-fDTheta); |
---|
| 610 | |
---|
[850] | 611 | nTs = G4ThreeVector(-std::cos(fSTheta)*p.x()/rho, // *std::cos(pPhi), |
---|
| 612 | -std::cos(fSTheta)*p.y()/rho, // *std::sin(pPhi), |
---|
| 613 | std::sin(fSTheta) ); |
---|
| 614 | |
---|
| 615 | nTe = G4ThreeVector( std::cos(fSTheta+fDTheta)*p.x()/rho, // *std::cos(pPhi), |
---|
| 616 | std::cos(fSTheta+fDTheta)*p.y()/rho, // *std::sin(pPhi), |
---|
| 617 | -std::sin(fSTheta+fDTheta) ); |
---|
[831] | 618 | } |
---|
| 619 | else if( !fRmin ) |
---|
| 620 | { |
---|
[850] | 621 | if ( fSTheta ) |
---|
| 622 | { |
---|
| 623 | distSTheta = 0.; |
---|
| 624 | nTs = G4ThreeVector(0.,0.,-1.); |
---|
| 625 | } |
---|
| 626 | if ( fSTheta + fDTheta < pi ) // distETheta = 0.; |
---|
| 627 | { |
---|
| 628 | distETheta = 0.; |
---|
| 629 | nTe = G4ThreeVector(0.,0.,1.); |
---|
| 630 | } |
---|
[831] | 631 | } |
---|
| 632 | } |
---|
| 633 | if( rad ) nR = G4ThreeVector(p.x()/rad,p.y()/rad,p.z()/rad); |
---|
| 634 | |
---|
| 635 | if( distRMax <= delta ) |
---|
| 636 | { |
---|
| 637 | noSurfaces ++; |
---|
| 638 | sumnorm += nR; |
---|
| 639 | } |
---|
| 640 | if( fRmin && distRMin <= delta ) |
---|
| 641 | { |
---|
| 642 | noSurfaces ++; |
---|
| 643 | sumnorm -= nR; |
---|
| 644 | } |
---|
| 645 | if( fDPhi < twopi ) |
---|
| 646 | { |
---|
| 647 | if (distSPhi <= dAngle) |
---|
| 648 | { |
---|
| 649 | noSurfaces ++; |
---|
| 650 | sumnorm += nPs; |
---|
| 651 | } |
---|
| 652 | if (distEPhi <= dAngle) |
---|
| 653 | { |
---|
| 654 | noSurfaces ++; |
---|
| 655 | sumnorm += nPe; |
---|
| 656 | } |
---|
| 657 | } |
---|
| 658 | if ( fDTheta < pi ) |
---|
| 659 | { |
---|
| 660 | if (distSTheta <= dAngle && fSTheta > 0.) |
---|
| 661 | { |
---|
| 662 | noSurfaces ++; |
---|
| 663 | if( rad <= delta && fDPhi >= twopi) sumnorm += nZ; |
---|
| 664 | else sumnorm += nTs; |
---|
| 665 | } |
---|
| 666 | if (distETheta <= dAngle && fSTheta+fDTheta < pi) |
---|
| 667 | { |
---|
| 668 | noSurfaces ++; |
---|
| 669 | if( rad <= delta && fDPhi >= twopi) sumnorm -= nZ; |
---|
| 670 | else sumnorm += nTe; |
---|
| 671 | if(sumnorm.z() == 0.) sumnorm += nZ; |
---|
| 672 | } |
---|
| 673 | } |
---|
| 674 | if ( noSurfaces == 0 ) |
---|
| 675 | { |
---|
| 676 | #ifdef G4CSGDEBUG |
---|
| 677 | G4Exception("G4Sphere::SurfaceNormal(p)", "Notification", JustWarning, |
---|
| 678 | "Point p is not on surface !?" ); |
---|
| 679 | #endif |
---|
| 680 | norm = ApproxSurfaceNormal(p); |
---|
| 681 | } |
---|
| 682 | else if ( noSurfaces == 1 ) norm = sumnorm; |
---|
| 683 | else norm = sumnorm.unit(); |
---|
| 684 | return norm; |
---|
| 685 | } |
---|
| 686 | |
---|
| 687 | |
---|
| 688 | ///////////////////////////////////////////////////////////////////////////////////////////// |
---|
| 689 | // |
---|
| 690 | // Algorithm for SurfaceNormal() following the original specification |
---|
| 691 | // for points not on the surface |
---|
| 692 | |
---|
| 693 | G4ThreeVector G4Sphere::ApproxSurfaceNormal( const G4ThreeVector& p ) const |
---|
| 694 | { |
---|
| 695 | ENorm side; |
---|
| 696 | G4ThreeVector norm; |
---|
| 697 | G4double rho,rho2,rad,pPhi,pTheta; |
---|
| 698 | G4double distRMin,distRMax,distSPhi,distEPhi, |
---|
| 699 | distSTheta,distETheta,distMin; |
---|
| 700 | |
---|
| 701 | rho2=p.x()*p.x()+p.y()*p.y(); |
---|
| 702 | rad=std::sqrt(rho2+p.z()*p.z()); |
---|
| 703 | rho=std::sqrt(rho2); |
---|
| 704 | |
---|
| 705 | // |
---|
| 706 | // Distance to r shells |
---|
| 707 | // |
---|
| 708 | |
---|
| 709 | distRMax=std::fabs(rad-fRmax); |
---|
| 710 | if (fRmin) |
---|
| 711 | { |
---|
| 712 | distRMin=std::fabs(rad-fRmin); |
---|
| 713 | |
---|
| 714 | if (distRMin<distRMax) |
---|
| 715 | { |
---|
| 716 | distMin=distRMin; |
---|
| 717 | side=kNRMin; |
---|
| 718 | } |
---|
| 719 | else |
---|
| 720 | { |
---|
| 721 | distMin=distRMax; |
---|
| 722 | side=kNRMax; |
---|
| 723 | } |
---|
| 724 | } |
---|
| 725 | else |
---|
| 726 | { |
---|
| 727 | distMin=distRMax; |
---|
| 728 | side=kNRMax; |
---|
| 729 | } |
---|
| 730 | |
---|
| 731 | // |
---|
| 732 | // Distance to phi planes |
---|
| 733 | // |
---|
| 734 | // Protected against (0,0,z) |
---|
| 735 | |
---|
| 736 | pPhi = std::atan2(p.y(),p.x()); |
---|
| 737 | if (pPhi<0) pPhi += twopi; |
---|
| 738 | |
---|
| 739 | if (fDPhi<twopi&&rho) |
---|
| 740 | { |
---|
| 741 | if (fSPhi<0) |
---|
| 742 | { |
---|
| 743 | distSPhi=std::fabs(pPhi-(fSPhi+twopi))*rho; |
---|
| 744 | } |
---|
| 745 | else |
---|
| 746 | { |
---|
| 747 | distSPhi=std::fabs(pPhi-fSPhi)*rho; |
---|
| 748 | } |
---|
| 749 | |
---|
| 750 | distEPhi=std::fabs(pPhi-fSPhi-fDPhi)*rho; |
---|
| 751 | |
---|
| 752 | // Find new minimum |
---|
| 753 | // |
---|
| 754 | if (distSPhi<distEPhi) |
---|
| 755 | { |
---|
| 756 | if (distSPhi<distMin) |
---|
| 757 | { |
---|
| 758 | distMin=distSPhi; |
---|
| 759 | side=kNSPhi; |
---|
| 760 | } |
---|
| 761 | } |
---|
| 762 | else |
---|
| 763 | { |
---|
| 764 | if (distEPhi<distMin) |
---|
| 765 | { |
---|
| 766 | distMin=distEPhi; |
---|
| 767 | side=kNEPhi; |
---|
| 768 | } |
---|
| 769 | } |
---|
| 770 | } |
---|
| 771 | |
---|
| 772 | // |
---|
| 773 | // Distance to theta planes |
---|
| 774 | // |
---|
| 775 | |
---|
| 776 | if (fDTheta<pi&&rad) |
---|
| 777 | { |
---|
| 778 | pTheta=std::atan2(rho,p.z()); |
---|
| 779 | distSTheta=std::fabs(pTheta-fSTheta)*rad; |
---|
| 780 | distETheta=std::fabs(pTheta-fSTheta-fDTheta)*rad; |
---|
| 781 | |
---|
| 782 | // Find new minimum |
---|
| 783 | // |
---|
| 784 | if (distSTheta<distETheta) |
---|
| 785 | { |
---|
| 786 | if (distSTheta<distMin) |
---|
| 787 | { |
---|
| 788 | distMin = distSTheta ; |
---|
| 789 | side = kNSTheta ; |
---|
| 790 | } |
---|
| 791 | } |
---|
| 792 | else |
---|
| 793 | { |
---|
| 794 | if (distETheta<distMin) |
---|
| 795 | { |
---|
| 796 | distMin = distETheta ; |
---|
| 797 | side = kNETheta ; |
---|
| 798 | } |
---|
| 799 | } |
---|
| 800 | } |
---|
| 801 | |
---|
| 802 | switch (side) |
---|
| 803 | { |
---|
| 804 | case kNRMin: // Inner radius |
---|
| 805 | norm=G4ThreeVector(-p.x()/rad,-p.y()/rad,-p.z()/rad); |
---|
| 806 | break; |
---|
| 807 | case kNRMax: // Outer radius |
---|
| 808 | norm=G4ThreeVector(p.x()/rad,p.y()/rad,p.z()/rad); |
---|
| 809 | break; |
---|
| 810 | case kNSPhi: |
---|
| 811 | norm=G4ThreeVector(std::sin(fSPhi),-std::cos(fSPhi),0); |
---|
| 812 | break; |
---|
| 813 | case kNEPhi: |
---|
| 814 | norm=G4ThreeVector(-std::sin(fSPhi+fDPhi),std::cos(fSPhi+fDPhi),0); |
---|
| 815 | break; |
---|
| 816 | case kNSTheta: |
---|
| 817 | norm=G4ThreeVector(-std::cos(fSTheta)*std::cos(pPhi), |
---|
| 818 | -std::cos(fSTheta)*std::sin(pPhi), |
---|
| 819 | std::sin(fSTheta) ); |
---|
| 820 | // G4cout<<G4endl<<" case kNSTheta:"<<G4endl; |
---|
| 821 | // G4cout<<"pPhi = "<<pPhi<<G4endl; |
---|
| 822 | // G4cout<<"rad = "<<rad<<G4endl; |
---|
| 823 | // G4cout<<"pho = "<<rho<<G4endl; |
---|
| 824 | // G4cout<<"p: "<<p.x()<<"; "<<p.y()<<"; "<<p.z()<<G4endl; |
---|
| 825 | // G4cout<<"norm: "<<norm.x()<<"; "<<norm.y()<<"; "<<norm.z()<<G4endl; |
---|
| 826 | break; |
---|
| 827 | case kNETheta: |
---|
| 828 | norm=G4ThreeVector( std::cos(fSTheta+fDTheta)*std::cos(pPhi), |
---|
| 829 | std::cos(fSTheta+fDTheta)*std::sin(pPhi), |
---|
| 830 | -std::sin(fSTheta+fDTheta) ); |
---|
| 831 | |
---|
| 832 | // G4cout<<G4endl<<" case kNETheta:"<<G4endl; |
---|
| 833 | // G4cout<<"pPhi = "<<pPhi<<G4endl; |
---|
| 834 | // G4cout<<"rad = "<<rad<<G4endl; |
---|
| 835 | // G4cout<<"pho = "<<rho<<G4endl; |
---|
| 836 | // G4cout<<"p: "<<p.x()<<"; "<<p.y()<<"; "<<p.z()<<G4endl; |
---|
| 837 | // G4cout<<"norm: "<<norm.x()<<"; "<<norm.y()<<"; "<<norm.z()<<G4endl; |
---|
| 838 | break; |
---|
| 839 | default: |
---|
| 840 | DumpInfo(); |
---|
| 841 | G4Exception("G4Sphere::ApproxSurfaceNormal()", "Notification", JustWarning, |
---|
| 842 | "Undefined side for valid surface normal to solid."); |
---|
| 843 | break; |
---|
| 844 | } // end case |
---|
| 845 | |
---|
| 846 | return norm; |
---|
| 847 | } |
---|
| 848 | |
---|
| 849 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 850 | // |
---|
| 851 | // Calculate distance to shape from outside, along normalised vector |
---|
| 852 | // - return kInfinity if no intersection, or intersection distance <= tolerance |
---|
| 853 | // |
---|
| 854 | // -> If point is outside outer radius, compute intersection with rmax |
---|
| 855 | // - if no intersection return |
---|
| 856 | // - if valid phi,theta return intersection Dist |
---|
| 857 | // |
---|
| 858 | // -> If shell, compute intersection with inner radius, taking largest +ve root |
---|
| 859 | // - if valid phi,theta, save intersection |
---|
| 860 | // |
---|
| 861 | // -> If phi segmented, compute intersection with phi half planes |
---|
| 862 | // - if valid intersection(r,theta), return smallest intersection of |
---|
| 863 | // inner shell & phi intersection |
---|
| 864 | // |
---|
| 865 | // -> If theta segmented, compute intersection with theta cones |
---|
| 866 | // - if valid intersection(r,phi), return smallest intersection of |
---|
| 867 | // inner shell & theta intersection |
---|
| 868 | // |
---|
| 869 | // |
---|
| 870 | // NOTE: |
---|
| 871 | // - `if valid' (above) implies tolerant checking of intersection points |
---|
| 872 | // |
---|
| 873 | // OPT: |
---|
| 874 | // Move tolIO/ORmin/RMax2 precalcs to where they are needed - |
---|
| 875 | // not required for most cases. |
---|
| 876 | // Avoid atan2 for non theta cut G4Sphere. |
---|
| 877 | |
---|
| 878 | G4double G4Sphere::DistanceToIn( const G4ThreeVector& p, |
---|
| 879 | const G4ThreeVector& v ) const |
---|
| 880 | { |
---|
| 881 | G4double snxt = kInfinity ; // snxt = default return value |
---|
| 882 | |
---|
| 883 | G4double rho2, rad2, pDotV2d, pDotV3d, pTheta ; |
---|
| 884 | |
---|
| 885 | G4double tolIRMin2, tolORMin2, tolORMax2, tolIRMax2 ; |
---|
| 886 | G4double tolSTheta=0., tolETheta=0. ; |
---|
| 887 | |
---|
| 888 | // Intersection point |
---|
| 889 | |
---|
| 890 | G4double xi, yi, zi, rhoi, rhoi2, radi2, iTheta ; |
---|
| 891 | |
---|
| 892 | // Phi intersection |
---|
| 893 | |
---|
| 894 | G4double sinSPhi, cosSPhi, ePhi, sinEPhi, cosEPhi , Comp ; |
---|
| 895 | |
---|
| 896 | // Phi flag and precalcs |
---|
| 897 | |
---|
| 898 | G4bool segPhi ; |
---|
| 899 | G4double hDPhi, hDPhiOT, hDPhiIT, cPhi, sinCPhi=0., cosCPhi=0. ; |
---|
| 900 | G4double cosHDPhiOT=0., cosHDPhiIT=0. ; |
---|
| 901 | G4double Dist, cosPsi ; |
---|
| 902 | |
---|
| 903 | G4bool segTheta ; // Theta flag and precals |
---|
| 904 | G4double tanSTheta, tanETheta ; |
---|
| 905 | G4double tanSTheta2, tanETheta2 ; |
---|
| 906 | G4double dist2STheta, dist2ETheta ; |
---|
| 907 | G4double t1, t2, b, c, d2, d, s = kInfinity ; |
---|
| 908 | |
---|
| 909 | // General Precalcs |
---|
| 910 | |
---|
| 911 | rho2 = p.x()*p.x() + p.y()*p.y() ; |
---|
| 912 | rad2 = rho2 + p.z()*p.z() ; |
---|
| 913 | pTheta = std::atan2(std::sqrt(rho2),p.z()) ; |
---|
| 914 | |
---|
| 915 | pDotV2d = p.x()*v.x() + p.y()*v.y() ; |
---|
| 916 | pDotV3d = pDotV2d + p.z()*v.z() ; |
---|
| 917 | |
---|
| 918 | // Radial Precalcs |
---|
| 919 | |
---|
| 920 | if (fRmin > kRadTolerance*0.5) |
---|
| 921 | { |
---|
| 922 | tolORMin2=(fRmin-kRadTolerance*0.5)*(fRmin-kRadTolerance*0.5); |
---|
| 923 | } |
---|
| 924 | else |
---|
| 925 | { |
---|
| 926 | tolORMin2 = 0 ; |
---|
| 927 | } |
---|
| 928 | tolIRMin2 = (fRmin+kRadTolerance*0.5)*(fRmin+kRadTolerance*0.5) ; |
---|
| 929 | tolORMax2 = (fRmax+kRadTolerance*0.5)*(fRmax+kRadTolerance*0.5) ; |
---|
| 930 | tolIRMax2 = (fRmax-kRadTolerance*0.5)*(fRmax-kRadTolerance*0.5) ; |
---|
| 931 | |
---|
| 932 | // Set phi divided flag and precalcs |
---|
| 933 | |
---|
| 934 | if (fDPhi < twopi) |
---|
| 935 | { |
---|
| 936 | segPhi = true ; |
---|
| 937 | hDPhi = 0.5*fDPhi ; // half delta phi |
---|
| 938 | cPhi = fSPhi + hDPhi ; |
---|
| 939 | |
---|
| 940 | hDPhiOT = hDPhi+0.5*kAngTolerance; // Outer Tolerant half delta phi |
---|
| 941 | hDPhiIT = hDPhi-0.5*kAngTolerance; |
---|
| 942 | |
---|
| 943 | sinCPhi = std::sin(cPhi) ; |
---|
| 944 | cosCPhi = std::cos(cPhi) ; |
---|
| 945 | cosHDPhiOT = std::cos(hDPhiOT) ; |
---|
| 946 | cosHDPhiIT = std::cos(hDPhiIT) ; |
---|
| 947 | } |
---|
| 948 | else |
---|
| 949 | { |
---|
| 950 | segPhi = false ; |
---|
| 951 | } |
---|
| 952 | |
---|
| 953 | // Theta precalcs |
---|
| 954 | |
---|
| 955 | if (fDTheta < pi ) |
---|
| 956 | { |
---|
| 957 | segTheta = true ; |
---|
| 958 | tolSTheta = fSTheta - kAngTolerance*0.5 ; |
---|
| 959 | tolETheta = fSTheta + fDTheta + kAngTolerance*0.5 ; |
---|
| 960 | } |
---|
| 961 | else |
---|
| 962 | { |
---|
| 963 | segTheta = false ; |
---|
| 964 | } |
---|
| 965 | |
---|
| 966 | // Outer spherical shell intersection |
---|
| 967 | // - Only if outside tolerant fRmax |
---|
| 968 | // - Check for if inside and outer G4Sphere heading through solid (-> 0) |
---|
| 969 | // - No intersect -> no intersection with G4Sphere |
---|
| 970 | // |
---|
| 971 | // Shell eqn: x^2+y^2+z^2=RSPH^2 |
---|
| 972 | // |
---|
| 973 | // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2 |
---|
| 974 | // |
---|
| 975 | // => (px^2+py^2+pz^2) +2s(pxvx+pyvy+pzvz)+s^2(vx^2+vy^2+vz^2)=R^2 |
---|
| 976 | // => rad2 +2s(pDotV3d) +s^2 =R^2 |
---|
| 977 | // |
---|
| 978 | // => s=-pDotV3d+-std::sqrt(pDotV3d^2-(rad2-R^2)) |
---|
| 979 | |
---|
| 980 | c = rad2 - fRmax*fRmax ; |
---|
| 981 | const G4double flexRadMaxTolerance = // kRadTolerance; |
---|
| 982 | std::max(kRadTolerance, fEpsilon * fRmax); |
---|
| 983 | |
---|
| 984 | // if (c > kRadTolerance*fRmax) |
---|
| 985 | if (c > flexRadMaxTolerance*fRmax) |
---|
| 986 | { |
---|
| 987 | // If outside toleranct boundary of outer G4Sphere |
---|
| 988 | // [should be std::sqrt(rad2)-fRmax > kRadTolerance*0.5] |
---|
| 989 | |
---|
| 990 | d2 = pDotV3d*pDotV3d - c ; |
---|
| 991 | |
---|
| 992 | if ( d2 >= 0 ) |
---|
| 993 | { |
---|
| 994 | s = -pDotV3d - std::sqrt(d2) ; |
---|
| 995 | |
---|
| 996 | if (s >= 0 ) |
---|
| 997 | { |
---|
| 998 | xi = p.x() + s*v.x() ; |
---|
| 999 | yi = p.y() + s*v.y() ; |
---|
| 1000 | rhoi = std::sqrt(xi*xi + yi*yi) ; |
---|
| 1001 | |
---|
| 1002 | if (segPhi && rhoi) // Check phi intersection |
---|
| 1003 | { |
---|
| 1004 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/rhoi ; |
---|
| 1005 | |
---|
| 1006 | if (cosPsi >= cosHDPhiOT) |
---|
| 1007 | { |
---|
| 1008 | if (segTheta) // Check theta intersection |
---|
| 1009 | { |
---|
| 1010 | zi = p.z() + s*v.z() ; |
---|
| 1011 | |
---|
| 1012 | // rhoi & zi can never both be 0 |
---|
| 1013 | // (=>intersect at origin =>fRmax=0) |
---|
| 1014 | // |
---|
| 1015 | iTheta = std::atan2(rhoi,zi) ; |
---|
| 1016 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
| 1017 | { |
---|
| 1018 | return snxt = s ; |
---|
| 1019 | } |
---|
| 1020 | } |
---|
| 1021 | else |
---|
| 1022 | { |
---|
| 1023 | return snxt=s; |
---|
| 1024 | } |
---|
| 1025 | } |
---|
| 1026 | } |
---|
| 1027 | else |
---|
| 1028 | { |
---|
| 1029 | if (segTheta) // Check theta intersection |
---|
| 1030 | { |
---|
| 1031 | zi = p.z() + s*v.z() ; |
---|
| 1032 | |
---|
| 1033 | // rhoi & zi can never both be 0 |
---|
| 1034 | // (=>intersect at origin => fRmax=0 !) |
---|
| 1035 | // |
---|
| 1036 | iTheta = std::atan2(rhoi,zi) ; |
---|
| 1037 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
| 1038 | { |
---|
| 1039 | return snxt=s; |
---|
| 1040 | } |
---|
| 1041 | } |
---|
| 1042 | else |
---|
| 1043 | { |
---|
| 1044 | return snxt = s ; |
---|
| 1045 | } |
---|
| 1046 | } |
---|
| 1047 | } |
---|
| 1048 | } |
---|
| 1049 | else // No intersection with G4Sphere |
---|
| 1050 | { |
---|
| 1051 | return snxt=kInfinity; |
---|
| 1052 | } |
---|
| 1053 | } |
---|
| 1054 | else |
---|
| 1055 | { |
---|
| 1056 | // Inside outer radius |
---|
| 1057 | // check not inside, and heading through G4Sphere (-> 0 to in) |
---|
| 1058 | |
---|
| 1059 | d2 = pDotV3d*pDotV3d - c ; |
---|
| 1060 | |
---|
| 1061 | // if (rad2 > tolIRMin2 && pDotV3d < 0 ) |
---|
| 1062 | |
---|
| 1063 | if (rad2 > tolIRMax2 && ( d2 >= flexRadMaxTolerance*fRmax && pDotV3d < 0 ) ) |
---|
| 1064 | { |
---|
| 1065 | if (segPhi) |
---|
| 1066 | { |
---|
| 1067 | // Use inner phi tolerant boundary -> if on tolerant |
---|
| 1068 | // phi boundaries, phi intersect code handles leaving/entering checks |
---|
| 1069 | |
---|
| 1070 | cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
| 1071 | |
---|
| 1072 | if (cosPsi>=cosHDPhiIT) |
---|
| 1073 | { |
---|
| 1074 | // inside radii, delta r -ve, inside phi |
---|
| 1075 | |
---|
| 1076 | if (segTheta) |
---|
| 1077 | { |
---|
| 1078 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
| 1079 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
| 1080 | { |
---|
| 1081 | return snxt=0; |
---|
| 1082 | } |
---|
| 1083 | } |
---|
| 1084 | else // strictly inside Theta in both cases |
---|
| 1085 | { |
---|
| 1086 | return snxt=0; |
---|
| 1087 | } |
---|
| 1088 | } |
---|
| 1089 | } |
---|
| 1090 | else |
---|
| 1091 | { |
---|
| 1092 | if ( segTheta ) |
---|
| 1093 | { |
---|
| 1094 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
| 1095 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
| 1096 | { |
---|
| 1097 | return snxt=0; |
---|
| 1098 | } |
---|
| 1099 | } |
---|
| 1100 | else // strictly inside Theta in both cases |
---|
| 1101 | { |
---|
| 1102 | return snxt=0; |
---|
| 1103 | } |
---|
| 1104 | } |
---|
| 1105 | } |
---|
| 1106 | } |
---|
| 1107 | |
---|
| 1108 | // Inner spherical shell intersection |
---|
| 1109 | // - Always farthest root, because would have passed through outer |
---|
| 1110 | // surface first. |
---|
| 1111 | // - Tolerant check for if travelling through solid |
---|
| 1112 | |
---|
| 1113 | if (fRmin) |
---|
| 1114 | { |
---|
| 1115 | c = rad2 - fRmin*fRmin ; |
---|
| 1116 | d2 = pDotV3d*pDotV3d - c ; |
---|
| 1117 | |
---|
| 1118 | // Within tolerance inner radius of inner G4Sphere |
---|
| 1119 | // Check for immediate entry/already inside and travelling outwards |
---|
| 1120 | |
---|
| 1121 | // if (c >- kRadTolerance*0.5 && pDotV3d >= 0 && rad2 < tolIRMin2 ) |
---|
| 1122 | |
---|
| 1123 | if ( c > -kRadTolerance*0.5 && rad2 < tolIRMin2 && |
---|
| 1124 | ( d2 < fRmin*kCarTolerance || pDotV3d >= 0 ) ) |
---|
| 1125 | { |
---|
| 1126 | if (segPhi) |
---|
| 1127 | { |
---|
| 1128 | // Use inner phi tolerant boundary -> if on tolerant |
---|
| 1129 | // phi boundaries, phi intersect code handles leaving/entering checks |
---|
| 1130 | |
---|
| 1131 | cosPsi = (p.x()*cosCPhi+p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
| 1132 | if (cosPsi >= cosHDPhiIT) |
---|
| 1133 | { |
---|
| 1134 | // inside radii, delta r -ve, inside phi |
---|
| 1135 | // |
---|
| 1136 | if (segTheta) |
---|
| 1137 | { |
---|
| 1138 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
| 1139 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
| 1140 | { |
---|
| 1141 | return snxt=0; |
---|
| 1142 | } |
---|
| 1143 | } |
---|
| 1144 | else |
---|
| 1145 | { |
---|
| 1146 | return snxt = 0 ; |
---|
| 1147 | } |
---|
| 1148 | } |
---|
| 1149 | } |
---|
| 1150 | else |
---|
| 1151 | { |
---|
| 1152 | if (segTheta) |
---|
| 1153 | { |
---|
| 1154 | if ( (pTheta >= tolSTheta + kAngTolerance) |
---|
| 1155 | && (pTheta <= tolETheta - kAngTolerance) ) |
---|
| 1156 | { |
---|
| 1157 | return snxt = 0 ; |
---|
| 1158 | } |
---|
| 1159 | } |
---|
| 1160 | else |
---|
| 1161 | { |
---|
| 1162 | return snxt=0; |
---|
| 1163 | } |
---|
| 1164 | } |
---|
| 1165 | } |
---|
| 1166 | else // Not special tolerant case |
---|
| 1167 | { |
---|
| 1168 | // d2 = pDotV3d*pDotV3d - c ; |
---|
| 1169 | |
---|
| 1170 | if (d2 >= 0) |
---|
| 1171 | { |
---|
| 1172 | s = -pDotV3d + std::sqrt(d2) ; |
---|
| 1173 | if ( s >= kRadTolerance*0.5 ) // It was >= 0 ?? |
---|
| 1174 | { |
---|
| 1175 | xi = p.x() + s*v.x() ; |
---|
| 1176 | yi = p.y() + s*v.y() ; |
---|
| 1177 | rhoi = std::sqrt(xi*xi+yi*yi) ; |
---|
| 1178 | |
---|
| 1179 | if ( segPhi && rhoi ) // Check phi intersection |
---|
| 1180 | { |
---|
| 1181 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/rhoi ; |
---|
| 1182 | |
---|
| 1183 | if (cosPsi >= cosHDPhiOT) |
---|
| 1184 | { |
---|
| 1185 | if (segTheta) // Check theta intersection |
---|
| 1186 | { |
---|
| 1187 | zi = p.z() + s*v.z() ; |
---|
| 1188 | |
---|
| 1189 | // rhoi & zi can never both be 0 |
---|
| 1190 | // (=>intersect at origin =>fRmax=0) |
---|
| 1191 | // |
---|
| 1192 | iTheta = std::atan2(rhoi,zi) ; |
---|
| 1193 | if ( (iTheta >= tolSTheta) && (iTheta<=tolETheta) ) |
---|
| 1194 | { |
---|
| 1195 | snxt = s ; |
---|
| 1196 | } |
---|
| 1197 | } |
---|
| 1198 | else |
---|
| 1199 | { |
---|
| 1200 | snxt=s; |
---|
| 1201 | } |
---|
| 1202 | } |
---|
| 1203 | } |
---|
| 1204 | else |
---|
| 1205 | { |
---|
| 1206 | if (segTheta) // Check theta intersection |
---|
| 1207 | { |
---|
| 1208 | zi = p.z() + s*v.z() ; |
---|
| 1209 | |
---|
| 1210 | // rhoi & zi can never both be 0 |
---|
| 1211 | // (=>intersect at origin => fRmax=0 !) |
---|
| 1212 | // |
---|
| 1213 | iTheta = std::atan2(rhoi,zi) ; |
---|
| 1214 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
| 1215 | { |
---|
| 1216 | snxt = s ; |
---|
| 1217 | } |
---|
| 1218 | } |
---|
| 1219 | else |
---|
| 1220 | { |
---|
| 1221 | snxt=s; |
---|
| 1222 | } |
---|
| 1223 | } |
---|
| 1224 | } |
---|
| 1225 | } |
---|
| 1226 | } |
---|
| 1227 | } |
---|
| 1228 | |
---|
| 1229 | // Phi segment intersection |
---|
| 1230 | // |
---|
| 1231 | // o Tolerant of points inside phi planes by up to kCarTolerance*0.5 |
---|
| 1232 | // |
---|
| 1233 | // o NOTE: Large duplication of code between sphi & ephi checks |
---|
| 1234 | // -> only diffs: sphi -> ephi, Comp -> -Comp and half-plane |
---|
| 1235 | // intersection check <=0 -> >=0 |
---|
| 1236 | // -> Should use some form of loop Construct |
---|
| 1237 | // |
---|
| 1238 | if ( segPhi ) |
---|
| 1239 | { |
---|
| 1240 | // First phi surface (`S'tarting phi) |
---|
| 1241 | |
---|
| 1242 | sinSPhi = std::sin(fSPhi) ; |
---|
| 1243 | cosSPhi = std::cos(fSPhi) ; |
---|
| 1244 | |
---|
| 1245 | // Comp = Component in outwards normal dirn |
---|
| 1246 | // |
---|
| 1247 | Comp = v.x()*sinSPhi - v.y()*cosSPhi ; |
---|
| 1248 | |
---|
| 1249 | if ( Comp < 0 ) |
---|
| 1250 | { |
---|
| 1251 | Dist = p.y()*cosSPhi - p.x()*sinSPhi ; |
---|
| 1252 | |
---|
| 1253 | if (Dist < kCarTolerance*0.5) |
---|
| 1254 | { |
---|
| 1255 | s = Dist/Comp ; |
---|
| 1256 | |
---|
| 1257 | if (s < snxt) |
---|
| 1258 | { |
---|
| 1259 | if ( s > 0 ) |
---|
| 1260 | { |
---|
| 1261 | xi = p.x() + s*v.x() ; |
---|
| 1262 | yi = p.y() + s*v.y() ; |
---|
| 1263 | zi = p.z() + s*v.z() ; |
---|
| 1264 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1265 | radi2 = rhoi2 + zi*zi ; |
---|
| 1266 | } |
---|
| 1267 | else |
---|
| 1268 | { |
---|
| 1269 | s = 0 ; |
---|
| 1270 | xi = p.x() ; |
---|
| 1271 | yi = p.y() ; |
---|
| 1272 | zi = p.z() ; |
---|
| 1273 | rhoi2 = rho2 ; |
---|
| 1274 | radi2 = rad2 ; |
---|
| 1275 | } |
---|
| 1276 | if ( (radi2 <= tolORMax2) |
---|
| 1277 | && (radi2 >= tolORMin2) |
---|
| 1278 | && ((yi*cosCPhi-xi*sinCPhi) <= 0) ) |
---|
| 1279 | { |
---|
| 1280 | // Check theta intersection |
---|
| 1281 | // rhoi & zi can never both be 0 |
---|
| 1282 | // (=>intersect at origin =>fRmax=0) |
---|
| 1283 | // |
---|
| 1284 | if ( segTheta ) |
---|
| 1285 | { |
---|
| 1286 | iTheta = std::atan2(std::sqrt(rhoi2),zi) ; |
---|
| 1287 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
| 1288 | { |
---|
| 1289 | // r and theta intersections good |
---|
| 1290 | // - check intersecting with correct half-plane |
---|
| 1291 | |
---|
| 1292 | if ((yi*cosCPhi-xi*sinCPhi) <= 0) |
---|
| 1293 | { |
---|
| 1294 | snxt = s ; |
---|
| 1295 | } |
---|
| 1296 | } |
---|
| 1297 | } |
---|
| 1298 | else |
---|
| 1299 | { |
---|
| 1300 | snxt = s ; |
---|
| 1301 | } |
---|
| 1302 | } |
---|
| 1303 | } |
---|
| 1304 | } |
---|
| 1305 | } |
---|
| 1306 | |
---|
| 1307 | // Second phi surface (`E'nding phi) |
---|
| 1308 | |
---|
| 1309 | ePhi = fSPhi + fDPhi ; |
---|
| 1310 | sinEPhi = std::sin(ePhi) ; |
---|
| 1311 | cosEPhi = std::cos(ePhi) ; |
---|
| 1312 | |
---|
| 1313 | // Compnent in outwards normal dirn |
---|
| 1314 | |
---|
| 1315 | Comp = -( v.x()*sinEPhi-v.y()*cosEPhi ) ; |
---|
| 1316 | |
---|
| 1317 | if (Comp < 0) |
---|
| 1318 | { |
---|
| 1319 | Dist = -(p.y()*cosEPhi-p.x()*sinEPhi) ; |
---|
| 1320 | if ( Dist < kCarTolerance*0.5 ) |
---|
| 1321 | { |
---|
| 1322 | s = Dist/Comp ; |
---|
| 1323 | |
---|
| 1324 | if ( s < snxt ) |
---|
| 1325 | { |
---|
| 1326 | if (s > 0) |
---|
| 1327 | { |
---|
| 1328 | xi = p.x() + s*v.x() ; |
---|
| 1329 | yi = p.y() + s*v.y() ; |
---|
| 1330 | zi = p.z() + s*v.z() ; |
---|
| 1331 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1332 | radi2 = rhoi2 + zi*zi ; |
---|
| 1333 | } |
---|
| 1334 | else |
---|
| 1335 | { |
---|
| 1336 | s = 0 ; |
---|
| 1337 | xi = p.x() ; |
---|
| 1338 | yi = p.y() ; |
---|
| 1339 | zi = p.z() ; |
---|
| 1340 | rhoi2 = rho2 ; |
---|
| 1341 | radi2 = rad2 ; |
---|
| 1342 | } if ( (radi2 <= tolORMax2) |
---|
| 1343 | && (radi2 >= tolORMin2) |
---|
| 1344 | && ((yi*cosCPhi-xi*sinCPhi) >= 0) ) |
---|
| 1345 | { |
---|
| 1346 | // Check theta intersection |
---|
| 1347 | // rhoi & zi can never both be 0 |
---|
| 1348 | // (=>intersect at origin =>fRmax=0) |
---|
| 1349 | // |
---|
| 1350 | if ( segTheta ) |
---|
| 1351 | { |
---|
| 1352 | iTheta = std::atan2(std::sqrt(rhoi2),zi) ; |
---|
| 1353 | if ( (iTheta >= tolSTheta) && (iTheta <= tolETheta) ) |
---|
| 1354 | { |
---|
| 1355 | // r and theta intersections good |
---|
| 1356 | // - check intersecting with correct half-plane |
---|
| 1357 | |
---|
| 1358 | if ((yi*cosCPhi-xi*sinCPhi) >= 0) |
---|
| 1359 | { |
---|
| 1360 | snxt = s ; |
---|
| 1361 | } |
---|
| 1362 | } |
---|
| 1363 | } |
---|
| 1364 | else |
---|
| 1365 | { |
---|
| 1366 | snxt = s ; |
---|
| 1367 | } |
---|
| 1368 | } |
---|
| 1369 | } |
---|
| 1370 | } |
---|
| 1371 | } |
---|
| 1372 | } |
---|
| 1373 | |
---|
| 1374 | // Theta segment intersection |
---|
| 1375 | |
---|
| 1376 | if ( segTheta ) |
---|
| 1377 | { |
---|
| 1378 | |
---|
| 1379 | // Intersection with theta surfaces |
---|
| 1380 | // Known failure cases: |
---|
| 1381 | // o Inside tolerance of stheta surface, skim |
---|
| 1382 | // ~parallel to cone and Hit & enter etheta surface [& visa versa] |
---|
| 1383 | // |
---|
| 1384 | // To solve: Check 2nd root of etheta surface in addition to stheta |
---|
| 1385 | // |
---|
| 1386 | // o start/end theta is exactly pi/2 |
---|
| 1387 | // Intersections with cones |
---|
| 1388 | // |
---|
| 1389 | // Cone equation: x^2+y^2=z^2tan^2(t) |
---|
| 1390 | // |
---|
| 1391 | // => (px+svx)^2+(py+svy)^2=(pz+svz)^2tan^2(t) |
---|
| 1392 | // |
---|
| 1393 | // => (px^2+py^2-pz^2tan^2(t))+2s(pxvx+pyvy-pzvztan^2(t)) |
---|
| 1394 | // + s^2(vx^2+vy^2-vz^2tan^2(t)) = 0 |
---|
| 1395 | // |
---|
| 1396 | // => s^2(1-vz^2(1+tan^2(t))+2s(pdotv2d-pzvztan^2(t))+(rho2-pz^2tan^2(t))=0 |
---|
| 1397 | |
---|
| 1398 | tanSTheta = std::tan(fSTheta) ; |
---|
| 1399 | tanSTheta2 = tanSTheta*tanSTheta ; |
---|
| 1400 | tanETheta = std::tan(fSTheta+fDTheta) ; |
---|
| 1401 | tanETheta2 = tanETheta*tanETheta ; |
---|
| 1402 | |
---|
| 1403 | if (fSTheta) |
---|
| 1404 | { |
---|
| 1405 | dist2STheta = rho2 - p.z()*p.z()*tanSTheta2 ; |
---|
| 1406 | } |
---|
| 1407 | else |
---|
| 1408 | { |
---|
| 1409 | dist2STheta = kInfinity ; |
---|
| 1410 | } |
---|
| 1411 | if ( fSTheta + fDTheta < pi ) |
---|
| 1412 | { |
---|
| 1413 | dist2ETheta=rho2-p.z()*p.z()*tanETheta2; |
---|
| 1414 | } |
---|
| 1415 | else |
---|
| 1416 | { |
---|
| 1417 | dist2ETheta=kInfinity; |
---|
| 1418 | } |
---|
| 1419 | if ( pTheta < tolSTheta) // dist2STheta<-kRadTolerance*0.5 && dist2ETheta>0) |
---|
| 1420 | { |
---|
| 1421 | // Inside (theta<stheta-tol) s theta cone |
---|
| 1422 | // First root of stheta cone, second if first root -ve |
---|
| 1423 | |
---|
| 1424 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
| 1425 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
| 1426 | |
---|
| 1427 | b = t2/t1 ; |
---|
| 1428 | c = dist2STheta/t1 ; |
---|
| 1429 | d2 = b*b - c ; |
---|
| 1430 | |
---|
| 1431 | if ( d2 >= 0 ) |
---|
| 1432 | { |
---|
| 1433 | d = std::sqrt(d2) ; |
---|
| 1434 | s = -b - d ; // First root |
---|
[850] | 1435 | zi = p.z() + s*v.z(); |
---|
[831] | 1436 | |
---|
[850] | 1437 | if ( s < 0 || zi*(fSTheta - halfpi) > 0 ) |
---|
[831] | 1438 | { |
---|
[850] | 1439 | s = -b+d; // Second root |
---|
[831] | 1440 | } |
---|
| 1441 | if (s >= 0 && s < snxt) |
---|
| 1442 | { |
---|
[850] | 1443 | xi = p.x() + s*v.x(); |
---|
| 1444 | yi = p.y() + s*v.y(); |
---|
| 1445 | zi = p.z() + s*v.z(); |
---|
| 1446 | rhoi2 = xi*xi + yi*yi; |
---|
| 1447 | radi2 = rhoi2 + zi*zi; |
---|
[831] | 1448 | if ( (radi2 <= tolORMax2) |
---|
| 1449 | && (radi2 >= tolORMin2) |
---|
| 1450 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
| 1451 | { |
---|
| 1452 | if ( segPhi && rhoi2 ) // Check phi intersection |
---|
| 1453 | { |
---|
| 1454 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1455 | if (cosPsi >= cosHDPhiOT) |
---|
| 1456 | { |
---|
| 1457 | snxt = s ; |
---|
| 1458 | } |
---|
| 1459 | } |
---|
| 1460 | else |
---|
| 1461 | { |
---|
| 1462 | snxt = s ; |
---|
| 1463 | } |
---|
| 1464 | } |
---|
| 1465 | } |
---|
| 1466 | } |
---|
| 1467 | |
---|
| 1468 | // Possible intersection with ETheta cone. |
---|
| 1469 | // Second >= 0 root should be considered |
---|
| 1470 | |
---|
| 1471 | if ( fSTheta + fDTheta < pi ) |
---|
| 1472 | { |
---|
| 1473 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
| 1474 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
| 1475 | |
---|
| 1476 | b = t2/t1 ; |
---|
| 1477 | c = dist2ETheta/t1 ; |
---|
| 1478 | d2 = b*b - c ; |
---|
| 1479 | |
---|
| 1480 | if (d2 >= 0) |
---|
| 1481 | { |
---|
| 1482 | d = std::sqrt(d2) ; |
---|
| 1483 | s = -b + d ; // Second root |
---|
| 1484 | |
---|
| 1485 | if (s >= 0 && s < snxt) |
---|
| 1486 | { |
---|
| 1487 | xi = p.x() + s*v.x() ; |
---|
| 1488 | yi = p.y() + s*v.y() ; |
---|
| 1489 | zi = p.z() + s*v.z() ; |
---|
| 1490 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1491 | radi2 = rhoi2 + zi*zi ; |
---|
| 1492 | |
---|
| 1493 | if ( (radi2 <= tolORMax2) |
---|
| 1494 | && (radi2 >= tolORMin2) |
---|
| 1495 | && (zi*(fSTheta + fDTheta - halfpi) <= 0) ) |
---|
| 1496 | { |
---|
| 1497 | if (segPhi && rhoi2) // Check phi intersection |
---|
| 1498 | { |
---|
| 1499 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1500 | if (cosPsi >= cosHDPhiOT) |
---|
| 1501 | { |
---|
| 1502 | snxt = s ; |
---|
| 1503 | } |
---|
| 1504 | } |
---|
| 1505 | else |
---|
| 1506 | { |
---|
| 1507 | snxt = s ; |
---|
| 1508 | } |
---|
| 1509 | } |
---|
| 1510 | } |
---|
| 1511 | } |
---|
| 1512 | } |
---|
| 1513 | } |
---|
[850] | 1514 | else if ( pTheta > tolETheta ) |
---|
| 1515 | { |
---|
| 1516 | // dist2ETheta<-kRadTolerance*0.5 && dist2STheta>0) |
---|
| 1517 | // Inside (theta > etheta+tol) e-theta cone |
---|
[831] | 1518 | // First root of etheta cone, second if first root `imaginary' |
---|
| 1519 | |
---|
| 1520 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
| 1521 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
| 1522 | |
---|
| 1523 | b = t2/t1 ; |
---|
| 1524 | c = dist2ETheta/t1 ; |
---|
| 1525 | d2 = b*b - c ; |
---|
| 1526 | |
---|
| 1527 | if (d2 >= 0) |
---|
| 1528 | { |
---|
| 1529 | d = std::sqrt(d2) ; |
---|
| 1530 | s = -b - d ; // First root |
---|
[850] | 1531 | zi = p.z() + s*v.z(); |
---|
| 1532 | |
---|
| 1533 | if (s < 0 || zi*(fSTheta + fDTheta - halfpi) > 0) |
---|
[831] | 1534 | { |
---|
| 1535 | s = -b + d ; // second root |
---|
| 1536 | } |
---|
| 1537 | if (s >= 0 && s < snxt) |
---|
| 1538 | { |
---|
| 1539 | xi = p.x() + s*v.x() ; |
---|
| 1540 | yi = p.y() + s*v.y() ; |
---|
| 1541 | zi = p.z() + s*v.z() ; |
---|
| 1542 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1543 | radi2 = rhoi2 + zi*zi ; |
---|
| 1544 | |
---|
| 1545 | if ( (radi2 <= tolORMax2) |
---|
| 1546 | && (radi2 >= tolORMin2) |
---|
| 1547 | && (zi*(fSTheta + fDTheta - halfpi) <= 0) ) |
---|
| 1548 | { |
---|
| 1549 | if (segPhi && rhoi2) // Check phi intersection |
---|
| 1550 | { |
---|
| 1551 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1552 | if (cosPsi >= cosHDPhiOT) |
---|
| 1553 | { |
---|
| 1554 | snxt = s ; |
---|
| 1555 | } |
---|
| 1556 | } |
---|
| 1557 | else |
---|
| 1558 | { |
---|
| 1559 | snxt = s ; |
---|
| 1560 | } |
---|
| 1561 | } |
---|
| 1562 | } |
---|
| 1563 | } |
---|
| 1564 | |
---|
| 1565 | // Possible intersection with STheta cone. |
---|
| 1566 | // Second >= 0 root should be considered |
---|
| 1567 | |
---|
| 1568 | if ( fSTheta ) |
---|
| 1569 | { |
---|
| 1570 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
| 1571 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
| 1572 | |
---|
| 1573 | b = t2/t1 ; |
---|
| 1574 | c = dist2STheta/t1 ; |
---|
| 1575 | d2 = b*b - c ; |
---|
| 1576 | |
---|
| 1577 | if (d2 >= 0) |
---|
| 1578 | { |
---|
| 1579 | d = std::sqrt(d2) ; |
---|
| 1580 | s = -b + d ; // Second root |
---|
| 1581 | |
---|
| 1582 | if ( (s >= 0) && (s < snxt) ) |
---|
| 1583 | { |
---|
| 1584 | xi = p.x() + s*v.x() ; |
---|
| 1585 | yi = p.y() + s*v.y() ; |
---|
| 1586 | zi = p.z() + s*v.z() ; |
---|
| 1587 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1588 | radi2 = rhoi2 + zi*zi ; |
---|
| 1589 | |
---|
| 1590 | if ( (radi2 <= tolORMax2) |
---|
| 1591 | && (radi2 >= tolORMin2) |
---|
| 1592 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
| 1593 | { |
---|
| 1594 | if (segPhi && rhoi2) // Check phi intersection |
---|
| 1595 | { |
---|
| 1596 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1597 | if (cosPsi >= cosHDPhiOT) |
---|
| 1598 | { |
---|
| 1599 | snxt = s ; |
---|
| 1600 | } |
---|
| 1601 | } |
---|
| 1602 | else |
---|
| 1603 | { |
---|
| 1604 | snxt = s ; |
---|
| 1605 | } |
---|
| 1606 | } |
---|
| 1607 | } |
---|
| 1608 | } |
---|
| 1609 | } |
---|
| 1610 | } |
---|
| 1611 | else if ( (pTheta <tolSTheta + kAngTolerance) |
---|
| 1612 | && (fSTheta > kAngTolerance) ) |
---|
| 1613 | { |
---|
| 1614 | // In tolerance of stheta |
---|
| 1615 | // If entering through solid [r,phi] => 0 to in |
---|
| 1616 | // else try 2nd root |
---|
| 1617 | |
---|
| 1618 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
| 1619 | if ( (t2>=0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta<pi*.5) |
---|
| 1620 | || (t2<0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta>pi*.5) |
---|
| 1621 | || (v.z()<0 && tolIRMin2<rad2 && rad2<tolIRMax2 && fSTheta==pi*.5) ) |
---|
| 1622 | { |
---|
| 1623 | if (segPhi && rho2) // Check phi intersection |
---|
| 1624 | { |
---|
| 1625 | cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
| 1626 | if (cosPsi >= cosHDPhiIT) |
---|
| 1627 | { |
---|
| 1628 | return 0 ; |
---|
| 1629 | } |
---|
| 1630 | } |
---|
| 1631 | else |
---|
| 1632 | { |
---|
| 1633 | return 0 ; |
---|
| 1634 | } |
---|
| 1635 | } |
---|
| 1636 | |
---|
| 1637 | // Not entering immediately/travelling through |
---|
| 1638 | |
---|
| 1639 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
| 1640 | b = t2/t1 ; |
---|
| 1641 | c = dist2STheta/t1 ; |
---|
| 1642 | d2 = b*b - c ; |
---|
| 1643 | |
---|
| 1644 | if (d2 >= 0) |
---|
| 1645 | { |
---|
| 1646 | d = std::sqrt(d2) ; |
---|
| 1647 | s = -b + d ; |
---|
| 1648 | if ( (s >= kCarTolerance*0.5) && (s < snxt) && (fSTheta < pi*0.5) ) |
---|
| 1649 | { |
---|
| 1650 | xi = p.x() + s*v.x() ; |
---|
| 1651 | yi = p.y() + s*v.y() ; |
---|
| 1652 | zi = p.z() + s*v.z() ; |
---|
| 1653 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1654 | radi2 = rhoi2 + zi*zi ; |
---|
| 1655 | |
---|
| 1656 | if ( (radi2 <= tolORMax2) |
---|
| 1657 | && (radi2 >= tolORMin2) |
---|
| 1658 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
| 1659 | { |
---|
| 1660 | if ( segPhi && rhoi2 ) // Check phi intersection |
---|
| 1661 | { |
---|
| 1662 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1663 | if ( cosPsi >= cosHDPhiOT ) |
---|
| 1664 | { |
---|
| 1665 | snxt = s ; |
---|
| 1666 | } |
---|
| 1667 | } |
---|
| 1668 | else |
---|
| 1669 | { |
---|
| 1670 | snxt = s ; |
---|
| 1671 | } |
---|
| 1672 | } |
---|
| 1673 | } |
---|
| 1674 | } |
---|
| 1675 | } |
---|
| 1676 | else if ( (pTheta > tolETheta - kAngTolerance) |
---|
| 1677 | && ((fSTheta + fDTheta) < pi-kAngTolerance) ) |
---|
| 1678 | { |
---|
| 1679 | |
---|
| 1680 | // In tolerance of etheta |
---|
| 1681 | // If entering through solid [r,phi] => 0 to in |
---|
| 1682 | // else try 2nd root |
---|
| 1683 | |
---|
| 1684 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
| 1685 | |
---|
| 1686 | if ( |
---|
| 1687 | (t2<0 && (fSTheta+fDTheta) <pi*0.5 && tolIRMin2<rad2 && rad2<tolIRMax2) |
---|
| 1688 | || (t2>=0 && (fSTheta+fDTheta) >pi*0.5 && tolIRMin2<rad2 && rad2<tolIRMax2) |
---|
| 1689 | || (v.z()>0 && (fSTheta+fDTheta)==pi*0.5 && tolIRMin2<rad2 && rad2<tolIRMax2) |
---|
| 1690 | ) |
---|
| 1691 | { |
---|
| 1692 | if (segPhi && rho2) // Check phi intersection |
---|
| 1693 | { |
---|
| 1694 | cosPsi = (p.x()*cosCPhi + p.y()*sinCPhi)/std::sqrt(rho2) ; |
---|
| 1695 | if (cosPsi >= cosHDPhiIT) |
---|
| 1696 | { |
---|
| 1697 | return 0 ; |
---|
| 1698 | } |
---|
| 1699 | } |
---|
| 1700 | else |
---|
| 1701 | { |
---|
| 1702 | return 0 ; |
---|
| 1703 | } |
---|
| 1704 | } |
---|
| 1705 | |
---|
| 1706 | // Not entering immediately/travelling through |
---|
| 1707 | |
---|
| 1708 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
| 1709 | b = t2/t1 ; |
---|
| 1710 | c = dist2ETheta/t1 ; |
---|
| 1711 | d2 = b*b - c ; |
---|
| 1712 | |
---|
| 1713 | if (d2 >= 0) |
---|
| 1714 | { |
---|
| 1715 | d = std::sqrt(d2) ; |
---|
| 1716 | s = -b + d ; |
---|
| 1717 | |
---|
| 1718 | if ( (s >= kCarTolerance*0.5) |
---|
| 1719 | && (s < snxt) && ((fSTheta + fDTheta) > pi*0.5) ) |
---|
| 1720 | { |
---|
| 1721 | xi = p.x() + s*v.x() ; |
---|
| 1722 | yi = p.y() + s*v.y() ; |
---|
| 1723 | zi = p.z() + s*v.z() ; |
---|
| 1724 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1725 | radi2 = rhoi2 + zi*zi ; |
---|
| 1726 | |
---|
| 1727 | if ( (radi2 <= tolORMax2) |
---|
| 1728 | && (radi2 >= tolORMin2) |
---|
| 1729 | && (zi*(fSTheta + fDTheta - halfpi) <= 0) ) |
---|
| 1730 | { |
---|
| 1731 | if (segPhi && rhoi2) // Check phi intersection |
---|
| 1732 | { |
---|
| 1733 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1734 | if (cosPsi>=cosHDPhiOT) |
---|
| 1735 | { |
---|
| 1736 | snxt = s ; |
---|
| 1737 | } |
---|
| 1738 | } |
---|
| 1739 | else |
---|
| 1740 | { |
---|
| 1741 | snxt = s ; |
---|
| 1742 | } |
---|
| 1743 | } |
---|
| 1744 | } |
---|
| 1745 | } |
---|
| 1746 | } |
---|
| 1747 | else |
---|
| 1748 | { |
---|
| 1749 | // stheta+tol<theta<etheta-tol |
---|
| 1750 | // For BOTH stheta & etheta check 2nd root for validity [r,phi] |
---|
| 1751 | |
---|
| 1752 | t1 = 1 - v.z()*v.z()*(1 + tanSTheta2) ; |
---|
| 1753 | t2 = pDotV2d - p.z()*v.z()*tanSTheta2 ; |
---|
| 1754 | |
---|
| 1755 | b = t2/t1; |
---|
| 1756 | c = dist2STheta/t1 ; |
---|
| 1757 | d2 = b*b - c ; |
---|
| 1758 | |
---|
| 1759 | if (d2 >= 0) |
---|
| 1760 | { |
---|
| 1761 | d = std::sqrt(d2) ; |
---|
| 1762 | s = -b + d ; // second root |
---|
| 1763 | |
---|
| 1764 | if (s >= 0 && s < snxt) |
---|
| 1765 | { |
---|
| 1766 | xi = p.x() + s*v.x() ; |
---|
| 1767 | yi = p.y() + s*v.y() ; |
---|
| 1768 | zi = p.z() + s*v.z() ; |
---|
| 1769 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1770 | radi2 = rhoi2 + zi*zi ; |
---|
| 1771 | |
---|
| 1772 | if ( (radi2 <= tolORMax2) |
---|
| 1773 | && (radi2 >= tolORMin2) |
---|
| 1774 | && (zi*(fSTheta - halfpi) <= 0) ) |
---|
| 1775 | { |
---|
| 1776 | if (segPhi && rhoi2) // Check phi intersection |
---|
| 1777 | { |
---|
| 1778 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1779 | if (cosPsi >= cosHDPhiOT) |
---|
| 1780 | { |
---|
| 1781 | snxt = s ; |
---|
| 1782 | } |
---|
| 1783 | } |
---|
| 1784 | else |
---|
| 1785 | { |
---|
| 1786 | snxt = s ; |
---|
| 1787 | } |
---|
| 1788 | } |
---|
| 1789 | } |
---|
| 1790 | } |
---|
| 1791 | t1 = 1 - v.z()*v.z()*(1 + tanETheta2) ; |
---|
| 1792 | t2 = pDotV2d - p.z()*v.z()*tanETheta2 ; |
---|
| 1793 | |
---|
| 1794 | b = t2/t1 ; |
---|
| 1795 | c = dist2ETheta/t1 ; |
---|
| 1796 | d2 = b*b - c ; |
---|
| 1797 | |
---|
| 1798 | if (d2 >= 0) |
---|
| 1799 | { |
---|
| 1800 | d = std::sqrt(d2) ; |
---|
| 1801 | s = -b + d; // second root |
---|
| 1802 | |
---|
| 1803 | if (s >= 0 && s < snxt) |
---|
| 1804 | { |
---|
| 1805 | xi = p.x() + s*v.x() ; |
---|
| 1806 | yi = p.y() + s*v.y() ; |
---|
| 1807 | zi = p.z() + s*v.z() ; |
---|
| 1808 | rhoi2 = xi*xi + yi*yi ; |
---|
| 1809 | radi2 = rhoi2 + zi*zi ; |
---|
| 1810 | |
---|
| 1811 | if ( (radi2 <= tolORMax2) |
---|
| 1812 | && (radi2 >= tolORMin2) |
---|
| 1813 | && (zi*(fSTheta + fDTheta - halfpi) <= 0) ) |
---|
| 1814 | { |
---|
| 1815 | if (segPhi && rhoi2) // Check phi intersection |
---|
| 1816 | { |
---|
| 1817 | cosPsi = (xi*cosCPhi + yi*sinCPhi)/std::sqrt(rhoi2) ; |
---|
| 1818 | if ( cosPsi >= cosHDPhiOT ) |
---|
| 1819 | { |
---|
| 1820 | snxt=s; |
---|
| 1821 | } |
---|
| 1822 | } |
---|
| 1823 | else |
---|
| 1824 | { |
---|
| 1825 | snxt = s ; |
---|
| 1826 | } |
---|
| 1827 | } |
---|
| 1828 | } |
---|
| 1829 | } |
---|
| 1830 | } |
---|
| 1831 | } |
---|
| 1832 | return snxt; |
---|
| 1833 | } |
---|
| 1834 | |
---|
| 1835 | ////////////////////////////////////////////////////////////////////// |
---|
| 1836 | // |
---|
| 1837 | // Calculate distance (<= actual) to closest surface of shape from outside |
---|
| 1838 | // - Calculate distance to radial planes |
---|
| 1839 | // - Only to phi planes if outside phi extent |
---|
| 1840 | // - Only to theta planes if outside theta extent |
---|
| 1841 | // - Return 0 if point inside |
---|
| 1842 | |
---|
| 1843 | G4double G4Sphere::DistanceToIn( const G4ThreeVector& p ) const |
---|
| 1844 | { |
---|
| 1845 | G4double safe=0.0,safeRMin,safeRMax,safePhi,safeTheta; |
---|
| 1846 | G4double rho2,rad,rho; |
---|
| 1847 | G4double phiC,cosPhiC,sinPhiC,cosPsi,ePhi; |
---|
| 1848 | G4double pTheta,dTheta1,dTheta2; |
---|
| 1849 | rho2=p.x()*p.x()+p.y()*p.y(); |
---|
| 1850 | rad=std::sqrt(rho2+p.z()*p.z()); |
---|
| 1851 | rho=std::sqrt(rho2); |
---|
| 1852 | |
---|
| 1853 | // |
---|
| 1854 | // Distance to r shells |
---|
| 1855 | // |
---|
| 1856 | if (fRmin) |
---|
| 1857 | { |
---|
| 1858 | safeRMin=fRmin-rad; |
---|
| 1859 | safeRMax=rad-fRmax; |
---|
| 1860 | if (safeRMin>safeRMax) |
---|
| 1861 | { |
---|
| 1862 | safe=safeRMin; |
---|
| 1863 | } |
---|
| 1864 | else |
---|
| 1865 | { |
---|
| 1866 | safe=safeRMax; |
---|
| 1867 | } |
---|
| 1868 | } |
---|
| 1869 | else |
---|
| 1870 | { |
---|
| 1871 | safe=rad-fRmax; |
---|
| 1872 | } |
---|
| 1873 | |
---|
| 1874 | // |
---|
| 1875 | // Distance to phi extent |
---|
| 1876 | // |
---|
| 1877 | if (fDPhi<twopi&&rho) |
---|
| 1878 | { |
---|
| 1879 | phiC=fSPhi+fDPhi*0.5; |
---|
| 1880 | cosPhiC=std::cos(phiC); |
---|
| 1881 | sinPhiC=std::sin(phiC); |
---|
| 1882 | |
---|
| 1883 | // Psi=angle from central phi to point |
---|
| 1884 | // |
---|
| 1885 | cosPsi=(p.x()*cosPhiC+p.y()*sinPhiC)/rho; |
---|
| 1886 | if (cosPsi<std::cos(fDPhi*0.5)) |
---|
| 1887 | { |
---|
| 1888 | // Point lies outside phi range |
---|
| 1889 | // |
---|
| 1890 | if ((p.y()*cosPhiC-p.x()*sinPhiC)<=0) |
---|
| 1891 | { |
---|
| 1892 | safePhi=std::fabs(p.x()*std::sin(fSPhi)-p.y()*std::cos(fSPhi)); |
---|
| 1893 | } |
---|
| 1894 | else |
---|
| 1895 | { |
---|
| 1896 | ePhi=fSPhi+fDPhi; |
---|
| 1897 | safePhi=std::fabs(p.x()*std::sin(ePhi)-p.y()*std::cos(ePhi)); |
---|
| 1898 | } |
---|
| 1899 | if (safePhi>safe) safe=safePhi; |
---|
| 1900 | } |
---|
| 1901 | } |
---|
| 1902 | // |
---|
| 1903 | // Distance to Theta extent |
---|
| 1904 | // |
---|
| 1905 | if ((rad!=0.0) && (fDTheta<pi)) |
---|
| 1906 | { |
---|
| 1907 | pTheta=std::acos(p.z()/rad); |
---|
| 1908 | if (pTheta<0) pTheta+=pi; |
---|
| 1909 | dTheta1=fSTheta-pTheta; |
---|
| 1910 | dTheta2=pTheta-(fSTheta+fDTheta); |
---|
| 1911 | if (dTheta1>dTheta2) |
---|
| 1912 | { |
---|
| 1913 | if (dTheta1>=0) // WHY ??????????? |
---|
| 1914 | { |
---|
| 1915 | safeTheta=rad*std::sin(dTheta1); |
---|
| 1916 | if (safe<=safeTheta) |
---|
| 1917 | { |
---|
| 1918 | safe=safeTheta; |
---|
| 1919 | } |
---|
| 1920 | } |
---|
| 1921 | } |
---|
| 1922 | else |
---|
| 1923 | { |
---|
| 1924 | if (dTheta2>=0) |
---|
| 1925 | { |
---|
| 1926 | safeTheta=rad*std::sin(dTheta2); |
---|
| 1927 | if (safe<=safeTheta) |
---|
| 1928 | { |
---|
| 1929 | safe=safeTheta; |
---|
| 1930 | } |
---|
| 1931 | } |
---|
| 1932 | } |
---|
| 1933 | } |
---|
| 1934 | |
---|
| 1935 | if (safe<0) safe=0; |
---|
| 1936 | return safe; |
---|
| 1937 | } |
---|
| 1938 | |
---|
| 1939 | ///////////////////////////////////////////////////////////////////// |
---|
| 1940 | // |
---|
| 1941 | // Calculate distance to surface of shape from `inside', allowing for tolerance |
---|
| 1942 | // - Only Calc rmax intersection if no valid rmin intersection |
---|
| 1943 | |
---|
| 1944 | G4double G4Sphere::DistanceToOut( const G4ThreeVector& p, |
---|
| 1945 | const G4ThreeVector& v, |
---|
| 1946 | const G4bool calcNorm, |
---|
| 1947 | G4bool *validNorm, |
---|
| 1948 | G4ThreeVector *n ) const |
---|
| 1949 | { |
---|
| 1950 | G4double snxt = kInfinity; // snxt is default return value |
---|
| 1951 | G4double sphi= kInfinity,stheta= kInfinity; |
---|
| 1952 | ESide side=kNull,sidephi=kNull,sidetheta=kNull; |
---|
| 1953 | |
---|
| 1954 | G4double t1,t2; |
---|
| 1955 | G4double b,c,d; |
---|
| 1956 | |
---|
| 1957 | // Variables for phi intersection: |
---|
| 1958 | |
---|
| 1959 | G4double sinSPhi,cosSPhi,ePhi,sinEPhi,cosEPhi; |
---|
| 1960 | G4double cPhi,sinCPhi,cosCPhi; |
---|
| 1961 | G4double pDistS,compS,pDistE,compE,sphi2,vphi; |
---|
| 1962 | |
---|
| 1963 | G4double rho2,rad2,pDotV2d,pDotV3d,pTheta; |
---|
| 1964 | |
---|
| 1965 | G4double tolSTheta=0.,tolETheta=0.; |
---|
| 1966 | G4double xi,yi,zi; // Intersection point |
---|
| 1967 | |
---|
| 1968 | // G4double Comp; // Phi intersection |
---|
| 1969 | |
---|
| 1970 | G4bool segPhi; // Phi flag and precalcs |
---|
| 1971 | G4double hDPhi,hDPhiOT,hDPhiIT; |
---|
| 1972 | G4double cosHDPhiOT,cosHDPhiIT; |
---|
| 1973 | |
---|
| 1974 | G4bool segTheta; // Theta flag and precals |
---|
[850] | 1975 | G4double tanSTheta=0.,tanETheta=0., rhoSecTheta; |
---|
[831] | 1976 | G4double tanSTheta2=0.,tanETheta2=0.; |
---|
[850] | 1977 | G4double dist2STheta, dist2ETheta, distTheta; |
---|
[831] | 1978 | G4double d2,s; |
---|
| 1979 | |
---|
| 1980 | // General Precalcs |
---|
| 1981 | |
---|
[850] | 1982 | rho2 = p.x()*p.x()+p.y()*p.y(); |
---|
| 1983 | rad2 = rho2+p.z()*p.z(); |
---|
[831] | 1984 | // G4double rad=std::sqrt(rad2); |
---|
| 1985 | |
---|
[850] | 1986 | pTheta = std::atan2(std::sqrt(rho2),p.z()); |
---|
[831] | 1987 | |
---|
[850] | 1988 | pDotV2d = p.x()*v.x()+p.y()*v.y(); |
---|
| 1989 | pDotV3d = pDotV2d+p.z()*v.z(); |
---|
[831] | 1990 | |
---|
| 1991 | // Set phi divided flag and precalcs |
---|
| 1992 | |
---|
[850] | 1993 | if( fDPhi < twopi ) |
---|
[831] | 1994 | { |
---|
| 1995 | segPhi=true; |
---|
| 1996 | hDPhi=0.5*fDPhi; // half delta phi |
---|
| 1997 | cPhi=fSPhi+hDPhi;; |
---|
| 1998 | hDPhiOT=hDPhi+0.5*kAngTolerance; // Outer Tolerant half delta phi |
---|
| 1999 | hDPhiIT=hDPhi-0.5*kAngTolerance; |
---|
| 2000 | sinCPhi=std::sin(cPhi); |
---|
| 2001 | cosCPhi=std::cos(cPhi); |
---|
| 2002 | cosHDPhiOT=std::cos(hDPhiOT); |
---|
| 2003 | cosHDPhiIT=std::cos(hDPhiIT); |
---|
| 2004 | } |
---|
| 2005 | else |
---|
| 2006 | { |
---|
| 2007 | segPhi=false; |
---|
| 2008 | } |
---|
| 2009 | |
---|
| 2010 | // Theta precalcs |
---|
| 2011 | |
---|
[850] | 2012 | if ( fDTheta < pi ) |
---|
[831] | 2013 | { |
---|
[850] | 2014 | segTheta = true; |
---|
| 2015 | tolSTheta = fSTheta - kAngTolerance*0.5; |
---|
| 2016 | tolETheta = fSTheta + fDTheta + kAngTolerance*0.5; |
---|
[831] | 2017 | } |
---|
[850] | 2018 | else segTheta = false; |
---|
| 2019 | |
---|
[831] | 2020 | |
---|
| 2021 | // Radial Intersections from G4Sphere::DistanceToIn |
---|
| 2022 | // |
---|
| 2023 | // Outer spherical shell intersection |
---|
| 2024 | // - Only if outside tolerant fRmax |
---|
| 2025 | // - Check for if inside and outer G4Sphere heading through solid (-> 0) |
---|
| 2026 | // - No intersect -> no intersection with G4Sphere |
---|
| 2027 | // |
---|
| 2028 | // Shell eqn: x^2+y^2+z^2=RSPH^2 |
---|
| 2029 | // |
---|
| 2030 | // => (px+svx)^2+(py+svy)^2+(pz+svz)^2=R^2 |
---|
| 2031 | // |
---|
| 2032 | // => (px^2+py^2+pz^2) +2s(pxvx+pyvy+pzvz)+s^2(vx^2+vy^2+vz^2)=R^2 |
---|
| 2033 | // => rad2 +2s(pDotV3d) +s^2 =R^2 |
---|
| 2034 | // |
---|
| 2035 | // => s=-pDotV3d+-std::sqrt(pDotV3d^2-(rad2-R^2)) |
---|
| 2036 | // |
---|
| 2037 | // const G4double fractionTolerance = 1.0e-12; |
---|
[850] | 2038 | |
---|
| 2039 | const G4double flexRadMaxTolerance = // kRadTolerance; |
---|
[831] | 2040 | std::max(kRadTolerance, fEpsilon * fRmax); |
---|
| 2041 | |
---|
| 2042 | const G4double Rmax_plus = fRmax + flexRadMaxTolerance*0.5; |
---|
[850] | 2043 | |
---|
[831] | 2044 | const G4double flexRadMinTolerance = std::max(kRadTolerance, |
---|
| 2045 | fEpsilon * fRmin); |
---|
[850] | 2046 | |
---|
[831] | 2047 | const G4double Rmin_minus= (fRmin > 0) ? fRmin-flexRadMinTolerance*0.5 : 0 ; |
---|
| 2048 | |
---|
| 2049 | if(rad2 <= Rmax_plus*Rmax_plus && rad2 >= Rmin_minus*Rmin_minus) |
---|
| 2050 | // if(rad <= Rmax_plus && rad >= Rmin_minus) |
---|
| 2051 | { |
---|
| 2052 | c = rad2 - fRmax*fRmax; |
---|
| 2053 | |
---|
| 2054 | if (c < flexRadMaxTolerance*fRmax) |
---|
| 2055 | { |
---|
| 2056 | // Within tolerant Outer radius |
---|
| 2057 | // |
---|
| 2058 | // The test is |
---|
| 2059 | // rad - fRmax < 0.5*kRadTolerance |
---|
| 2060 | // => rad < fRmax + 0.5*kRadTol |
---|
| 2061 | // => rad2 < (fRmax + 0.5*kRadTol)^2 |
---|
| 2062 | // => rad2 < fRmax^2 + 2.*0.5*fRmax*kRadTol + 0.25*kRadTol*kRadTol |
---|
| 2063 | // => rad2 - fRmax^2 <~ fRmax*kRadTol |
---|
| 2064 | |
---|
| 2065 | d2 = pDotV3d*pDotV3d - c; |
---|
| 2066 | |
---|
| 2067 | if( (c >- flexRadMaxTolerance*fRmax) // on tolerant surface |
---|
| 2068 | && ((pDotV3d >=0) || (d2 < 0)) ) // leaving outside from Rmax |
---|
| 2069 | // not re-entering |
---|
| 2070 | { |
---|
| 2071 | if(calcNorm) |
---|
| 2072 | { |
---|
| 2073 | *validNorm = true ; |
---|
| 2074 | *n = G4ThreeVector(p.x()/fRmax,p.y()/fRmax,p.z()/fRmax) ; |
---|
| 2075 | } |
---|
| 2076 | return snxt = 0; |
---|
| 2077 | } |
---|
| 2078 | else |
---|
| 2079 | { |
---|
[850] | 2080 | snxt = -pDotV3d+std::sqrt(d2); // second root since inside Rmax |
---|
| 2081 | side = kRMax ; |
---|
[831] | 2082 | } |
---|
| 2083 | } |
---|
| 2084 | |
---|
| 2085 | // Inner spherical shell intersection: |
---|
| 2086 | // Always first >=0 root, because would have passed |
---|
| 2087 | // from outside of Rmin surface . |
---|
| 2088 | |
---|
| 2089 | if (fRmin) |
---|
| 2090 | { |
---|
| 2091 | c = rad2 - fRmin*fRmin; |
---|
| 2092 | d2 = pDotV3d*pDotV3d - c; |
---|
| 2093 | |
---|
[850] | 2094 | if ( c >- flexRadMinTolerance*fRmin ) // 2.0 * (0.5*kRadTolerance) * fRmin |
---|
[831] | 2095 | { |
---|
| 2096 | if( c < flexRadMinTolerance*fRmin && |
---|
| 2097 | d2 >= flexRadMinTolerance*fRmin && pDotV3d < 0 ) // leaving from Rmin |
---|
| 2098 | { |
---|
[850] | 2099 | if(calcNorm) *validNorm = false ; // Rmin surface is concave |
---|
| 2100 | return snxt = 0 ; |
---|
[831] | 2101 | } |
---|
| 2102 | else |
---|
| 2103 | { |
---|
[850] | 2104 | if ( d2 >= 0. ) |
---|
[831] | 2105 | { |
---|
[850] | 2106 | s = -pDotV3d-std::sqrt(d2); |
---|
| 2107 | |
---|
| 2108 | if ( s >= 0. ) // Always intersect Rmin first |
---|
[831] | 2109 | { |
---|
| 2110 | snxt = s ; |
---|
| 2111 | side = kRMin ; |
---|
| 2112 | } |
---|
| 2113 | } |
---|
| 2114 | } |
---|
| 2115 | } |
---|
| 2116 | } |
---|
| 2117 | } |
---|
| 2118 | |
---|
| 2119 | // Theta segment intersection |
---|
| 2120 | |
---|
| 2121 | if (segTheta) |
---|
| 2122 | { |
---|
| 2123 | // Intersection with theta surfaces |
---|
| 2124 | // |
---|
| 2125 | // Known failure cases: |
---|
| 2126 | // o Inside tolerance of stheta surface, skim |
---|
| 2127 | // ~parallel to cone and Hit & enter etheta surface [& visa versa] |
---|
| 2128 | // |
---|
| 2129 | // To solve: Check 2nd root of etheta surface in addition to stheta |
---|
| 2130 | // |
---|
| 2131 | // o start/end theta is exactly pi/2 |
---|
| 2132 | // |
---|
| 2133 | // Intersections with cones |
---|
| 2134 | // |
---|
| 2135 | // Cone equation: x^2+y^2=z^2tan^2(t) |
---|
| 2136 | // |
---|
| 2137 | // => (px+svx)^2+(py+svy)^2=(pz+svz)^2tan^2(t) |
---|
| 2138 | // |
---|
| 2139 | // => (px^2+py^2-pz^2tan^2(t))+2s(pxvx+pyvy-pzvztan^2(t)) |
---|
| 2140 | // + s^2(vx^2+vy^2-vz^2tan^2(t)) = 0 |
---|
| 2141 | // |
---|
| 2142 | // => s^2(1-vz^2(1+tan^2(t))+2s(pdotv2d-pzvztan^2(t))+(rho2-pz^2tan^2(t))=0 |
---|
| 2143 | // |
---|
[850] | 2144 | |
---|
| 2145 | /* //////////////////////////////////////////////////////// |
---|
| 2146 | |
---|
[831] | 2147 | tanSTheta=std::tan(fSTheta); |
---|
| 2148 | tanSTheta2=tanSTheta*tanSTheta; |
---|
| 2149 | tanETheta=std::tan(fSTheta+fDTheta); |
---|
| 2150 | tanETheta2=tanETheta*tanETheta; |
---|
| 2151 | |
---|
| 2152 | if (fSTheta) |
---|
| 2153 | { |
---|
| 2154 | dist2STheta=rho2-p.z()*p.z()*tanSTheta2; |
---|
| 2155 | } |
---|
| 2156 | else |
---|
| 2157 | { |
---|
| 2158 | dist2STheta = kInfinity; |
---|
| 2159 | } |
---|
| 2160 | if (fSTheta + fDTheta < pi) |
---|
| 2161 | { |
---|
| 2162 | dist2ETheta = rho2-p.z()*p.z()*tanETheta2; |
---|
| 2163 | } |
---|
| 2164 | else |
---|
| 2165 | { |
---|
| 2166 | dist2ETheta = kInfinity ; |
---|
| 2167 | } |
---|
| 2168 | if (pTheta > tolSTheta && pTheta < tolETheta) // Inside theta |
---|
| 2169 | { |
---|
| 2170 | // In tolerance of STheta and possible leaving out to small thetas N- |
---|
| 2171 | |
---|
| 2172 | if(pTheta < tolSTheta + kAngTolerance && fSTheta > kAngTolerance) |
---|
| 2173 | { |
---|
| 2174 | t2=pDotV2d-p.z()*v.z()*tanSTheta2 ; // =(VdotN+)*rhoSecSTheta |
---|
| 2175 | |
---|
| 2176 | if( fSTheta < pi*0.5 && t2 < 0) |
---|
| 2177 | { |
---|
| 2178 | if(calcNorm) *validNorm = false ; |
---|
| 2179 | return snxt = 0 ; |
---|
| 2180 | } |
---|
| 2181 | else if(fSTheta > pi*0.5 && t2 >= 0) |
---|
| 2182 | { |
---|
| 2183 | if(calcNorm) |
---|
| 2184 | { |
---|
| 2185 | rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2)) ; |
---|
| 2186 | *validNorm = true ; |
---|
| 2187 | *n = G4ThreeVector(-p.x()/rhoSecTheta, // N- |
---|
| 2188 | -p.y()/rhoSecTheta, |
---|
| 2189 | tanSTheta/std::sqrt(1+tanSTheta2) ) ; |
---|
| 2190 | } |
---|
| 2191 | return snxt = 0 ; |
---|
| 2192 | } |
---|
| 2193 | else if( fSTheta == pi*0.5 && v.z() > 0) |
---|
| 2194 | { |
---|
| 2195 | if(calcNorm) |
---|
| 2196 | { |
---|
| 2197 | *validNorm = true ; |
---|
| 2198 | *n = G4ThreeVector(0,0,1) ; |
---|
| 2199 | } |
---|
| 2200 | return snxt = 0 ; |
---|
| 2201 | } |
---|
| 2202 | } |
---|
| 2203 | |
---|
| 2204 | // In tolerance of ETheta and possible leaving out to larger thetas N+ |
---|
| 2205 | |
---|
| 2206 | if ( (pTheta > tolETheta - kAngTolerance) |
---|
| 2207 | && (( fSTheta + fDTheta) < pi - kAngTolerance) ) |
---|
| 2208 | { |
---|
| 2209 | t2=pDotV2d-p.z()*v.z()*tanETheta2 ; |
---|
| 2210 | if((fSTheta+fDTheta)>pi*0.5 && t2<0) |
---|
| 2211 | { |
---|
| 2212 | if(calcNorm) *validNorm = false ; |
---|
| 2213 | return snxt = 0 ; |
---|
| 2214 | } |
---|
| 2215 | else if( (fSTheta+fDTheta) < pi*0.5 && t2 >= 0 ) |
---|
| 2216 | { |
---|
| 2217 | if(calcNorm) |
---|
| 2218 | { |
---|
| 2219 | rhoSecTheta = std::sqrt(rho2*(1+tanETheta2)) ; |
---|
| 2220 | *validNorm = true ; |
---|
| 2221 | *n = G4ThreeVector( p.x()/rhoSecTheta, // N+ |
---|
| 2222 | p.y()/rhoSecTheta, |
---|
| 2223 | -tanETheta/std::sqrt(1+tanETheta2) ) ; |
---|
| 2224 | } |
---|
| 2225 | return snxt = 0 ; |
---|
| 2226 | } |
---|
| 2227 | else if( ( fSTheta+fDTheta) == pi*0.5 && v.z() < 0 ) |
---|
| 2228 | { |
---|
| 2229 | if(calcNorm) |
---|
| 2230 | { |
---|
| 2231 | *validNorm = true ; |
---|
| 2232 | *n = G4ThreeVector(0,0,-1) ; |
---|
| 2233 | } |
---|
| 2234 | return snxt = 0 ; |
---|
| 2235 | } |
---|
| 2236 | } |
---|
| 2237 | if( fSTheta > 0 ) |
---|
| 2238 | { |
---|
| 2239 | // First root of fSTheta cone, second if first root -ve |
---|
| 2240 | |
---|
| 2241 | t1 = 1-v.z()*v.z()*(1+tanSTheta2); |
---|
| 2242 | t2 = pDotV2d-p.z()*v.z()*tanSTheta2; |
---|
| 2243 | |
---|
| 2244 | b = t2/t1; |
---|
| 2245 | c = dist2STheta/t1; |
---|
| 2246 | d2 = b*b - c ; |
---|
| 2247 | |
---|
| 2248 | if ( d2 >= 0 ) |
---|
| 2249 | { |
---|
| 2250 | d = std::sqrt(d2) ; |
---|
| 2251 | s = -b - d ; // First root |
---|
| 2252 | |
---|
| 2253 | if ( s < 0 ) |
---|
| 2254 | { |
---|
| 2255 | s = -b + d ; // Second root |
---|
| 2256 | } |
---|
| 2257 | if (s > flexRadMaxTolerance*0.5 ) // && s<sr) |
---|
| 2258 | { |
---|
| 2259 | // check against double cone solution |
---|
| 2260 | zi=p.z()+s*v.z(); |
---|
| 2261 | if (fSTheta<pi*0.5 && zi<0) |
---|
| 2262 | { |
---|
| 2263 | s = kInfinity ; // wrong cone |
---|
| 2264 | } |
---|
| 2265 | if (fSTheta>pi*0.5 && zi>0) |
---|
| 2266 | { |
---|
| 2267 | s = kInfinity ; // wrong cone |
---|
| 2268 | } |
---|
| 2269 | stheta = s ; |
---|
| 2270 | sidetheta = kSTheta ; |
---|
| 2271 | } |
---|
| 2272 | } |
---|
| 2273 | } |
---|
| 2274 | |
---|
| 2275 | // Possible intersection with ETheta cone |
---|
| 2276 | |
---|
| 2277 | if (fSTheta + fDTheta < pi) |
---|
| 2278 | { |
---|
| 2279 | t1 = 1-v.z()*v.z()*(1+tanETheta2); |
---|
| 2280 | t2 = pDotV2d-p.z()*v.z()*tanETheta2; |
---|
| 2281 | b = t2/t1; |
---|
| 2282 | c = dist2ETheta/t1; |
---|
| 2283 | d2 = b*b-c ; |
---|
| 2284 | |
---|
| 2285 | if ( d2 >= 0 ) |
---|
| 2286 | { |
---|
| 2287 | d = std::sqrt(d2); |
---|
| 2288 | s = -b - d ; // First root |
---|
| 2289 | |
---|
| 2290 | if ( s < 0 ) |
---|
| 2291 | { |
---|
| 2292 | s=-b+d; // Second root |
---|
| 2293 | } |
---|
| 2294 | if (s > flexRadMaxTolerance*0.5 && s < stheta ) |
---|
| 2295 | { |
---|
| 2296 | // check against double cone solution |
---|
| 2297 | zi=p.z()+s*v.z(); |
---|
| 2298 | if (fSTheta+fDTheta<pi*0.5 && zi<0) |
---|
| 2299 | { |
---|
| 2300 | s = kInfinity ; // wrong cone |
---|
| 2301 | } |
---|
| 2302 | if (fSTheta+fDTheta>pi*0.5 && zi>0) |
---|
| 2303 | { |
---|
| 2304 | s = kInfinity ; // wrong cone |
---|
| 2305 | } |
---|
[850] | 2306 | } |
---|
| 2307 | if (s < stheta) |
---|
| 2308 | { |
---|
| 2309 | stheta = s ; |
---|
| 2310 | sidetheta = kETheta ; |
---|
| 2311 | } |
---|
| 2312 | } |
---|
| 2313 | } |
---|
| 2314 | } |
---|
| 2315 | */ //////////////////////////////////////////////////////////// |
---|
| 2316 | |
---|
| 2317 | if(fSTheta) // intersection with first cons |
---|
| 2318 | { |
---|
| 2319 | |
---|
| 2320 | tanSTheta = std::tan(fSTheta); |
---|
| 2321 | |
---|
| 2322 | if( std::fabs(tanSTheta) > 5./kAngTolerance ) // kons is plane z=0 |
---|
| 2323 | { |
---|
| 2324 | if( v.z() > 0. ) |
---|
| 2325 | { |
---|
| 2326 | if ( std::fabs( p.z() ) <= flexRadMaxTolerance*0.5 ) |
---|
| 2327 | { |
---|
| 2328 | if(calcNorm) |
---|
[831] | 2329 | { |
---|
[850] | 2330 | *validNorm = true; |
---|
| 2331 | *n = G4ThreeVector(0.,0.,1.); |
---|
[831] | 2332 | } |
---|
[850] | 2333 | return snxt = 0 ; |
---|
| 2334 | } |
---|
| 2335 | // s = -p.z()/v.z(); |
---|
| 2336 | stheta = -p.z()/v.z(); |
---|
| 2337 | sidetheta = kSTheta; |
---|
| 2338 | } |
---|
| 2339 | } |
---|
| 2340 | else // kons is not plane |
---|
| 2341 | { |
---|
| 2342 | tanSTheta2 = tanSTheta*tanSTheta; |
---|
| 2343 | t1 = 1-v.z()*v.z()*(1+tanSTheta2); |
---|
| 2344 | t2 = pDotV2d-p.z()*v.z()*tanSTheta2; // ~vDotN if p on cons |
---|
| 2345 | dist2STheta = rho2-p.z()*p.z()*tanSTheta2; // t3 |
---|
| 2346 | |
---|
| 2347 | // distTheta = std::sqrt(std::fabs(dist2STheta/(1+tanSTheta2))); |
---|
| 2348 | distTheta = std::sqrt(rho2)-p.z()*tanSTheta; |
---|
| 2349 | |
---|
| 2350 | if( std::fabs(t1) < 0.5*kAngTolerance ) // 1st order equation, v parallel to kons |
---|
| 2351 | { |
---|
| 2352 | if( v.z() > 0. ) |
---|
| 2353 | { |
---|
| 2354 | if(std::fabs(distTheta) < flexRadMaxTolerance*0.5) // p on surface |
---|
| 2355 | { |
---|
| 2356 | if( fSTheta < halfpi && p.z() > 0. ) |
---|
| 2357 | { |
---|
| 2358 | if( calcNorm ) *validNorm = false; |
---|
| 2359 | return snxt = 0.; |
---|
| 2360 | } |
---|
| 2361 | else if( fSTheta > halfpi && p.z() <= 0) |
---|
| 2362 | { |
---|
| 2363 | if( calcNorm ) |
---|
| 2364 | { |
---|
| 2365 | *validNorm = true; |
---|
| 2366 | if (rho2) |
---|
| 2367 | { |
---|
| 2368 | rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2)); |
---|
| 2369 | |
---|
| 2370 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
| 2371 | p.y()/rhoSecTheta, |
---|
| 2372 | std::sin(fSTheta) ); |
---|
| 2373 | } |
---|
| 2374 | else *n = G4ThreeVector(0.,0.,1.); |
---|
| 2375 | } |
---|
| 2376 | return snxt = 0.; |
---|
| 2377 | } |
---|
| 2378 | } |
---|
| 2379 | // s = -0.5*dist2STheta/t2; |
---|
| 2380 | |
---|
| 2381 | stheta = -0.5*dist2STheta/t2; |
---|
| 2382 | sidetheta = kSTheta; |
---|
| 2383 | } |
---|
| 2384 | } |
---|
| 2385 | else // 2nd order equation, 1st root of fSTheta cone, 2nd if 1st root -ve |
---|
| 2386 | { |
---|
| 2387 | if( std::fabs(distTheta) < flexRadMaxTolerance*0.5) // && t2 >= 0.) surface |
---|
| 2388 | { |
---|
| 2389 | if( fSTheta > halfpi && t2 >= 0. ) // leave |
---|
| 2390 | { |
---|
| 2391 | if( calcNorm ) |
---|
| 2392 | { |
---|
| 2393 | *validNorm = true; |
---|
| 2394 | if (rho2) |
---|
| 2395 | { |
---|
| 2396 | rhoSecTheta = std::sqrt(rho2*(1+tanSTheta2)); |
---|
| 2397 | |
---|
| 2398 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
| 2399 | p.y()/rhoSecTheta, |
---|
| 2400 | std::sin(fSTheta) ); |
---|
| 2401 | } |
---|
| 2402 | else *n = G4ThreeVector(0.,0.,1.); |
---|
| 2403 | } |
---|
| 2404 | return snxt = 0.; |
---|
| 2405 | } |
---|
| 2406 | else if( fSTheta < halfpi && t2 < 0. && p.z() >=0. ) // leave |
---|
| 2407 | { |
---|
| 2408 | if( calcNorm ) *validNorm = false; |
---|
| 2409 | return snxt = 0.; |
---|
| 2410 | } |
---|
[831] | 2411 | } |
---|
[850] | 2412 | b = t2/t1; |
---|
| 2413 | c = dist2STheta/t1; |
---|
| 2414 | d2 = b*b - c ; |
---|
| 2415 | |
---|
| 2416 | if ( d2 >= 0. ) |
---|
| 2417 | { |
---|
| 2418 | d = std::sqrt(d2); |
---|
| 2419 | |
---|
| 2420 | if( fSTheta > halfpi ) |
---|
| 2421 | { |
---|
| 2422 | s = -b - d; // First root |
---|
| 2423 | |
---|
| 2424 | if( (std::fabs(s) < flexRadMaxTolerance*0.5 && t2 < 0.) || |
---|
| 2425 | s < 0. || |
---|
| 2426 | ( s > 0. && p.z() + s*v.z() > 0.) ) |
---|
| 2427 | { |
---|
| 2428 | s = -b + d ; // 2nd root |
---|
| 2429 | } |
---|
| 2430 | if( s > flexRadMaxTolerance*0.5 && p.z() + s*v.z() <= 0.) |
---|
| 2431 | { |
---|
| 2432 | stheta = s; |
---|
| 2433 | sidetheta = kSTheta; |
---|
| 2434 | } |
---|
| 2435 | } |
---|
| 2436 | else // sTheta < pi/2, concave surface, no normal |
---|
| 2437 | { |
---|
| 2438 | s = -b - d; // First root |
---|
| 2439 | |
---|
| 2440 | if( (std::fabs(s) < flexRadMaxTolerance*0.5 && t2 >= 0.) || |
---|
| 2441 | s < 0. || |
---|
| 2442 | ( s > 0. && p.z() + s*v.z() < 0.) ) |
---|
| 2443 | { |
---|
| 2444 | s = -b + d ; // 2nd root |
---|
| 2445 | } |
---|
| 2446 | if( s > flexRadMaxTolerance*0.5 && p.z() + s*v.z() >= 0.) |
---|
| 2447 | { |
---|
| 2448 | stheta = s; |
---|
| 2449 | sidetheta = kSTheta; |
---|
| 2450 | } |
---|
| 2451 | } |
---|
| 2452 | } |
---|
[831] | 2453 | } |
---|
| 2454 | } |
---|
[850] | 2455 | } |
---|
| 2456 | if (fSTheta + fDTheta < pi) // intersection with second cons |
---|
| 2457 | { |
---|
[831] | 2458 | |
---|
[850] | 2459 | tanETheta = std::tan(fSTheta+fDTheta); |
---|
| 2460 | |
---|
| 2461 | if( std::fabs(tanETheta) > 5./kAngTolerance ) // kons is plane z=0 |
---|
| 2462 | { |
---|
| 2463 | if( v.z() < 0. ) |
---|
| 2464 | { |
---|
| 2465 | if ( std::fabs( p.z() ) <= flexRadMaxTolerance*0.5 ) |
---|
| 2466 | { |
---|
| 2467 | if(calcNorm) |
---|
| 2468 | { |
---|
| 2469 | *validNorm = true; |
---|
| 2470 | *n = G4ThreeVector(0.,0.,-1.); |
---|
| 2471 | } |
---|
| 2472 | return snxt = 0 ; |
---|
| 2473 | } |
---|
| 2474 | s = -p.z()/v.z(); |
---|
| 2475 | |
---|
| 2476 | if( s < stheta) |
---|
| 2477 | { |
---|
| 2478 | stheta = s; |
---|
| 2479 | sidetheta = kETheta; |
---|
| 2480 | } |
---|
| 2481 | } |
---|
| 2482 | } |
---|
| 2483 | else // kons is not plane |
---|
| 2484 | { |
---|
| 2485 | tanETheta2 = tanETheta*tanETheta; |
---|
| 2486 | t1 = 1-v.z()*v.z()*(1+tanETheta2); |
---|
| 2487 | t2 = pDotV2d-p.z()*v.z()*tanETheta2; // ~vDotN if p on cons |
---|
| 2488 | dist2ETheta = rho2-p.z()*p.z()*tanETheta2; // t3 |
---|
| 2489 | |
---|
| 2490 | // distTheta = std::sqrt(std::fabs(dist2ETheta/(1+tanETheta2))); |
---|
| 2491 | distTheta = std::sqrt(rho2)-p.z()*tanETheta; |
---|
| 2492 | |
---|
| 2493 | if( std::fabs(t1) < 0.5*kAngTolerance ) // 1st order equation, v parallel to kons |
---|
| 2494 | { |
---|
| 2495 | if( v.z() < 0. ) |
---|
| 2496 | { |
---|
| 2497 | if(std::fabs(distTheta) < flexRadMaxTolerance*0.5) // p on surface |
---|
| 2498 | { |
---|
| 2499 | if( fSTheta+fDTheta > halfpi && p.z() < 0. ) |
---|
| 2500 | { |
---|
| 2501 | if( calcNorm ) *validNorm = false; |
---|
| 2502 | return snxt = 0.; |
---|
| 2503 | } |
---|
| 2504 | else if( fSTheta+fDTheta < halfpi && p.z() >= 0) |
---|
| 2505 | { |
---|
| 2506 | if( calcNorm ) |
---|
| 2507 | { |
---|
| 2508 | *validNorm = true; |
---|
| 2509 | if (rho2) |
---|
| 2510 | { |
---|
| 2511 | rhoSecTheta = std::sqrt(rho2*(1+tanETheta2)); |
---|
| 2512 | |
---|
| 2513 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
| 2514 | p.y()/rhoSecTheta, |
---|
| 2515 | -std::sin(fSTheta+fDTheta) ); |
---|
| 2516 | } |
---|
| 2517 | else *n = G4ThreeVector(0.,0.,-1.); |
---|
| 2518 | } |
---|
| 2519 | return snxt = 0.; |
---|
| 2520 | } |
---|
| 2521 | } |
---|
| 2522 | s = -0.5*dist2ETheta/t2; |
---|
| 2523 | |
---|
| 2524 | if( s < stheta) |
---|
| 2525 | { |
---|
| 2526 | stheta = s; |
---|
| 2527 | sidetheta = kETheta; |
---|
| 2528 | } |
---|
| 2529 | } |
---|
| 2530 | } |
---|
| 2531 | else // 2nd order equation, 1st root of fSTheta cone, 2nd if 1st root -ve |
---|
| 2532 | { |
---|
| 2533 | if( std::fabs(distTheta) < flexRadMaxTolerance*0.5) // && t2 >= 0.) surface |
---|
| 2534 | { |
---|
| 2535 | if( fSTheta+fDTheta < halfpi && t2 >= 0. ) // leave |
---|
| 2536 | { |
---|
| 2537 | if( calcNorm ) |
---|
| 2538 | { |
---|
| 2539 | *validNorm = true; |
---|
| 2540 | if (rho2) |
---|
| 2541 | { |
---|
| 2542 | rhoSecTheta = std::sqrt(rho2*(1+tanETheta2)); |
---|
| 2543 | |
---|
| 2544 | *n = G4ThreeVector( p.x()/rhoSecTheta, |
---|
| 2545 | p.y()/rhoSecTheta, |
---|
| 2546 | -std::sin(fSTheta+fDTheta) ); |
---|
| 2547 | } |
---|
| 2548 | else *n = G4ThreeVector(0.,0.,-1.); |
---|
| 2549 | } |
---|
| 2550 | return snxt = 0.; |
---|
| 2551 | } |
---|
| 2552 | else if( fSTheta+fDTheta > halfpi && t2 < 0. && p.z() <=0. ) // leave |
---|
| 2553 | { |
---|
| 2554 | if( calcNorm ) *validNorm = false; |
---|
| 2555 | return snxt = 0.; |
---|
| 2556 | } |
---|
| 2557 | } |
---|
| 2558 | b = t2/t1; |
---|
| 2559 | c = dist2ETheta/t1; |
---|
| 2560 | d2 = b*b - c ; |
---|
| 2561 | |
---|
| 2562 | if ( d2 >= 0. ) |
---|
| 2563 | { |
---|
| 2564 | d = std::sqrt(d2); |
---|
| 2565 | |
---|
| 2566 | if( fSTheta+fDTheta < halfpi ) |
---|
| 2567 | { |
---|
| 2568 | s = -b - d; // First root |
---|
| 2569 | |
---|
| 2570 | if( (std::fabs(s) < flexRadMaxTolerance*0.5 && t2 < 0.) || |
---|
| 2571 | s < 0. ) |
---|
| 2572 | { |
---|
| 2573 | s = -b + d ; // 2nd root |
---|
| 2574 | } |
---|
| 2575 | if( s > flexRadMaxTolerance*0.5 ) |
---|
| 2576 | { |
---|
| 2577 | if( s < stheta ) |
---|
| 2578 | { |
---|
| 2579 | stheta = s; |
---|
| 2580 | sidetheta = kETheta; |
---|
| 2581 | } |
---|
| 2582 | } |
---|
| 2583 | } |
---|
| 2584 | else // sTheta+fDTheta > pi/2, concave surface, no normal |
---|
| 2585 | { |
---|
| 2586 | s = -b - d; // First root |
---|
| 2587 | |
---|
| 2588 | if( (std::fabs(s) < flexRadMaxTolerance*0.5 && t2 >= 0.) || |
---|
| 2589 | s < 0. || |
---|
| 2590 | ( s > 0. && p.z() + s*v.z() > 0.) ) |
---|
| 2591 | { |
---|
| 2592 | s = -b + d ; // 2nd root |
---|
| 2593 | } |
---|
| 2594 | if( s > flexRadMaxTolerance*0.5 && p.z() + s*v.z() <= 0.) |
---|
| 2595 | { |
---|
| 2596 | if( s < stheta ) |
---|
| 2597 | { |
---|
| 2598 | stheta = s; |
---|
| 2599 | sidetheta = kETheta; |
---|
| 2600 | } |
---|
| 2601 | } |
---|
| 2602 | } |
---|
| 2603 | } |
---|
| 2604 | } |
---|
| 2605 | } |
---|
| 2606 | } |
---|
| 2607 | |
---|
| 2608 | } // end theta intersections |
---|
| 2609 | |
---|
[831] | 2610 | // Phi Intersection |
---|
| 2611 | |
---|
| 2612 | if ( fDPhi < twopi) |
---|
| 2613 | { |
---|
| 2614 | sinSPhi=std::sin(fSPhi); |
---|
| 2615 | cosSPhi=std::cos(fSPhi); |
---|
| 2616 | ePhi=fSPhi+fDPhi; |
---|
| 2617 | sinEPhi=std::sin(ePhi); |
---|
| 2618 | cosEPhi=std::cos(ePhi); |
---|
| 2619 | cPhi=fSPhi+fDPhi*0.5; |
---|
| 2620 | sinCPhi=std::sin(cPhi); |
---|
| 2621 | cosCPhi=std::cos(cPhi); |
---|
| 2622 | |
---|
| 2623 | if ( p.x()||p.y() ) // Check if on z axis (rho not needed later) |
---|
| 2624 | { |
---|
| 2625 | // pDist -ve when inside |
---|
| 2626 | |
---|
| 2627 | pDistS=p.x()*sinSPhi-p.y()*cosSPhi; |
---|
| 2628 | pDistE=-p.x()*sinEPhi+p.y()*cosEPhi; |
---|
| 2629 | |
---|
| 2630 | // Comp -ve when in direction of outwards normal |
---|
| 2631 | |
---|
| 2632 | compS = -sinSPhi*v.x()+cosSPhi*v.y() ; |
---|
| 2633 | compE = sinEPhi*v.x()-cosEPhi*v.y() ; |
---|
| 2634 | sidephi = kNull ; |
---|
| 2635 | |
---|
| 2636 | if ( pDistS <= 0 && pDistE <= 0 ) |
---|
| 2637 | { |
---|
| 2638 | // Inside both phi *full* planes |
---|
| 2639 | |
---|
| 2640 | if ( compS < 0 ) |
---|
| 2641 | { |
---|
| 2642 | sphi = pDistS/compS ; |
---|
| 2643 | xi = p.x()+sphi*v.x() ; |
---|
| 2644 | yi = p.y()+sphi*v.y() ; |
---|
| 2645 | |
---|
| 2646 | // Check intersecting with correct half-plane |
---|
| 2647 | // (if not -> no intersect) |
---|
| 2648 | |
---|
| 2649 | if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 ) |
---|
| 2650 | { |
---|
| 2651 | sphi=kInfinity; |
---|
| 2652 | } |
---|
| 2653 | else |
---|
| 2654 | { |
---|
| 2655 | sidephi = kSPhi ; |
---|
| 2656 | if ( pDistS > -0.5*kCarTolerance) sphi =0 ; // Leave by sphi |
---|
| 2657 | } |
---|
| 2658 | } |
---|
| 2659 | else sphi = kInfinity ; |
---|
| 2660 | |
---|
| 2661 | if ( compE < 0 ) |
---|
| 2662 | { |
---|
| 2663 | sphi2=pDistE/compE ; |
---|
| 2664 | if (sphi2 < sphi) // Only check further if < starting phi intersection |
---|
| 2665 | { |
---|
| 2666 | xi = p.x()+sphi2*v.x() ; |
---|
| 2667 | yi = p.y()+sphi2*v.y() ; |
---|
| 2668 | |
---|
| 2669 | // Check intersecting with correct half-plane |
---|
| 2670 | |
---|
| 2671 | if ((yi*cosCPhi-xi*sinCPhi)>=0) // Leaving via ending phi |
---|
| 2672 | { |
---|
| 2673 | sidephi = kEPhi ; |
---|
| 2674 | if ( pDistE <= -0.5*kCarTolerance ) |
---|
| 2675 | { |
---|
| 2676 | sphi=sphi2; |
---|
| 2677 | } |
---|
| 2678 | else |
---|
| 2679 | { |
---|
| 2680 | sphi = 0 ; |
---|
| 2681 | } |
---|
| 2682 | } |
---|
| 2683 | } |
---|
| 2684 | } |
---|
| 2685 | } |
---|
| 2686 | else if ( pDistS >= 0 && pDistE >= 0 ) // Outside both *full* phi planes |
---|
| 2687 | { |
---|
| 2688 | if ( pDistS <= pDistE ) |
---|
| 2689 | { |
---|
| 2690 | sidephi = kSPhi ; |
---|
| 2691 | } |
---|
| 2692 | else |
---|
| 2693 | { |
---|
| 2694 | sidephi = kEPhi ; |
---|
| 2695 | } |
---|
| 2696 | if ( fDPhi > pi ) |
---|
| 2697 | { |
---|
| 2698 | if ( compS < 0 && compE < 0 ) sphi = 0 ; |
---|
| 2699 | else sphi = kInfinity ; |
---|
| 2700 | } |
---|
| 2701 | else |
---|
| 2702 | { |
---|
| 2703 | // if towards both >=0 then once inside (after error) |
---|
| 2704 | // will remain inside |
---|
| 2705 | |
---|
| 2706 | if ( compS >= 0 && compE >= 0 ) |
---|
| 2707 | { |
---|
| 2708 | sphi=kInfinity; |
---|
| 2709 | } |
---|
| 2710 | else |
---|
| 2711 | { |
---|
| 2712 | sphi=0; |
---|
| 2713 | } |
---|
| 2714 | } |
---|
| 2715 | } |
---|
| 2716 | else if ( pDistS > 0 && pDistE < 0 ) |
---|
| 2717 | { |
---|
| 2718 | // Outside full starting plane, inside full ending plane |
---|
| 2719 | |
---|
| 2720 | if ( fDPhi > pi ) |
---|
| 2721 | { |
---|
| 2722 | if ( compE < 0 ) |
---|
| 2723 | { |
---|
| 2724 | sphi = pDistE/compE ; |
---|
| 2725 | xi = p.x() + sphi*v.x() ; |
---|
| 2726 | yi = p.y() + sphi*v.y() ; |
---|
| 2727 | |
---|
| 2728 | // Check intersection in correct half-plane |
---|
| 2729 | // (if not -> not leaving phi extent) |
---|
| 2730 | // |
---|
| 2731 | if ( ( yi*cosCPhi - xi*sinCPhi ) <= 0 ) |
---|
| 2732 | { |
---|
| 2733 | sphi = kInfinity ; |
---|
| 2734 | } |
---|
| 2735 | else // Leaving via Ending phi |
---|
| 2736 | { |
---|
| 2737 | sidephi = kEPhi ; |
---|
| 2738 | if ( pDistE > -0.5*kCarTolerance ) sphi = 0. ; |
---|
| 2739 | } |
---|
| 2740 | } |
---|
| 2741 | else |
---|
| 2742 | { |
---|
| 2743 | sphi = kInfinity ; |
---|
| 2744 | } |
---|
| 2745 | } |
---|
| 2746 | else |
---|
| 2747 | { |
---|
| 2748 | if ( compS >= 0 ) |
---|
| 2749 | { |
---|
| 2750 | if ( compE < 0 ) |
---|
| 2751 | { |
---|
| 2752 | sphi = pDistE/compE ; |
---|
| 2753 | xi = p.x() + sphi*v.x() ; |
---|
| 2754 | yi = p.y() + sphi*v.y() ; |
---|
| 2755 | |
---|
| 2756 | // Check intersection in correct half-plane |
---|
| 2757 | // (if not -> remain in extent) |
---|
| 2758 | // |
---|
| 2759 | if ( ( yi*cosCPhi - xi*sinCPhi) <= 0 ) |
---|
| 2760 | { |
---|
| 2761 | sphi=kInfinity; |
---|
| 2762 | } |
---|
| 2763 | else // otherwise leaving via Ending phi |
---|
| 2764 | { |
---|
| 2765 | sidephi = kEPhi ; |
---|
| 2766 | } |
---|
| 2767 | } |
---|
| 2768 | else sphi=kInfinity; |
---|
| 2769 | } |
---|
| 2770 | else // leaving immediately by starting phi |
---|
| 2771 | { |
---|
| 2772 | sidephi = kSPhi ; |
---|
| 2773 | sphi = 0 ; |
---|
| 2774 | } |
---|
| 2775 | } |
---|
| 2776 | } |
---|
| 2777 | else |
---|
| 2778 | { |
---|
| 2779 | // Must be pDistS < 0 && pDistE > 0 |
---|
| 2780 | // Inside full starting plane, outside full ending plane |
---|
| 2781 | |
---|
| 2782 | if ( fDPhi > pi ) |
---|
| 2783 | { |
---|
| 2784 | if ( compS < 0 ) |
---|
| 2785 | { |
---|
| 2786 | sphi=pDistS/compS; |
---|
| 2787 | xi=p.x()+sphi*v.x(); |
---|
| 2788 | yi=p.y()+sphi*v.y(); |
---|
| 2789 | |
---|
| 2790 | // Check intersection in correct half-plane |
---|
| 2791 | // (if not -> not leaving phi extent) |
---|
| 2792 | // |
---|
| 2793 | if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 ) |
---|
| 2794 | { |
---|
| 2795 | sphi = kInfinity ; |
---|
| 2796 | } |
---|
| 2797 | else // Leaving via Starting phi |
---|
| 2798 | { |
---|
| 2799 | sidephi = kSPhi ; |
---|
| 2800 | if ( pDistS > -0.5*kCarTolerance ) sphi = 0 ; |
---|
| 2801 | } |
---|
| 2802 | } |
---|
| 2803 | else |
---|
| 2804 | { |
---|
| 2805 | sphi = kInfinity ; |
---|
| 2806 | } |
---|
| 2807 | } |
---|
| 2808 | else |
---|
| 2809 | { |
---|
| 2810 | if ( compE >= 0 ) |
---|
| 2811 | { |
---|
| 2812 | if ( compS < 0 ) |
---|
| 2813 | { |
---|
| 2814 | sphi = pDistS/compS ; |
---|
| 2815 | xi = p.x()+sphi*v.x() ; |
---|
| 2816 | yi = p.y()+sphi*v.y() ; |
---|
| 2817 | |
---|
| 2818 | // Check intersection in correct half-plane |
---|
| 2819 | // (if not -> remain in extent) |
---|
| 2820 | // |
---|
| 2821 | if ( ( yi*cosCPhi - xi*sinCPhi ) >= 0 ) |
---|
| 2822 | { |
---|
| 2823 | sphi = kInfinity ; |
---|
| 2824 | } |
---|
| 2825 | else // otherwise leaving via Starting phi |
---|
| 2826 | { |
---|
| 2827 | sidephi = kSPhi ; |
---|
| 2828 | } |
---|
| 2829 | } |
---|
| 2830 | else |
---|
| 2831 | { |
---|
| 2832 | sphi = kInfinity ; |
---|
| 2833 | } |
---|
| 2834 | } |
---|
| 2835 | else // leaving immediately by ending |
---|
| 2836 | { |
---|
| 2837 | sidephi = kEPhi ; |
---|
| 2838 | sphi = 0 ; |
---|
| 2839 | } |
---|
| 2840 | } |
---|
| 2841 | } |
---|
| 2842 | } |
---|
| 2843 | else |
---|
| 2844 | { |
---|
| 2845 | // On z axis + travel not || to z axis -> if phi of vector direction |
---|
| 2846 | // within phi of shape, Step limited by rmax, else Step =0 |
---|
| 2847 | |
---|
| 2848 | if ( v.x() || v.y() ) |
---|
| 2849 | { |
---|
| 2850 | vphi = std::atan2(v.y(),v.x()) ; |
---|
| 2851 | if ( fSPhi < vphi && vphi < fSPhi + fDPhi ) |
---|
| 2852 | { |
---|
| 2853 | sphi=kInfinity; |
---|
| 2854 | } |
---|
| 2855 | else |
---|
| 2856 | { |
---|
| 2857 | sidephi = kSPhi ; // arbitrary |
---|
| 2858 | sphi = 0 ; |
---|
| 2859 | } |
---|
| 2860 | } |
---|
| 2861 | else // travel along z - no phi intersaction |
---|
| 2862 | { |
---|
| 2863 | sphi = kInfinity ; |
---|
| 2864 | } |
---|
| 2865 | } |
---|
| 2866 | if ( sphi < snxt ) // Order intersecttions |
---|
| 2867 | { |
---|
| 2868 | snxt = sphi ; |
---|
| 2869 | side = sidephi ; |
---|
| 2870 | } |
---|
| 2871 | } |
---|
| 2872 | if (stheta < snxt ) // Order intersections |
---|
| 2873 | { |
---|
| 2874 | snxt = stheta ; |
---|
| 2875 | side = sidetheta ; |
---|
| 2876 | } |
---|
| 2877 | |
---|
| 2878 | if (calcNorm) // Output switch operator |
---|
| 2879 | { |
---|
| 2880 | switch( side ) |
---|
| 2881 | { |
---|
| 2882 | case kRMax: |
---|
| 2883 | xi=p.x()+snxt*v.x(); |
---|
| 2884 | yi=p.y()+snxt*v.y(); |
---|
| 2885 | zi=p.z()+snxt*v.z(); |
---|
| 2886 | *n=G4ThreeVector(xi/fRmax,yi/fRmax,zi/fRmax); |
---|
| 2887 | *validNorm=true; |
---|
| 2888 | break; |
---|
[850] | 2889 | |
---|
[831] | 2890 | case kRMin: |
---|
| 2891 | *validNorm=false; // Rmin is concave |
---|
| 2892 | break; |
---|
[850] | 2893 | |
---|
[831] | 2894 | case kSPhi: |
---|
[850] | 2895 | if ( fDPhi <= pi ) // Normal to Phi- |
---|
[831] | 2896 | { |
---|
| 2897 | *n=G4ThreeVector(std::sin(fSPhi),-std::cos(fSPhi),0); |
---|
| 2898 | *validNorm=true; |
---|
| 2899 | } |
---|
| 2900 | else *validNorm=false; |
---|
| 2901 | break ; |
---|
[850] | 2902 | |
---|
[831] | 2903 | case kEPhi: |
---|
[850] | 2904 | if ( fDPhi <= pi ) // Normal to Phi+ |
---|
[831] | 2905 | { |
---|
| 2906 | *n=G4ThreeVector(-std::sin(fSPhi+fDPhi),std::cos(fSPhi+fDPhi),0); |
---|
| 2907 | *validNorm=true; |
---|
| 2908 | } |
---|
| 2909 | else *validNorm=false; |
---|
| 2910 | break; |
---|
[850] | 2911 | |
---|
[831] | 2912 | case kSTheta: |
---|
[850] | 2913 | if( fSTheta == halfpi ) |
---|
[831] | 2914 | { |
---|
[850] | 2915 | *n=G4ThreeVector(0.,0.,1.); |
---|
[831] | 2916 | *validNorm=true; |
---|
| 2917 | } |
---|
[850] | 2918 | else if ( fSTheta > halfpi ) |
---|
[831] | 2919 | { |
---|
[850] | 2920 | xi = p.x() + snxt*v.x(); |
---|
| 2921 | yi = p.y() + snxt*v.y(); |
---|
| 2922 | rhoSecTheta = std::sqrt((xi*xi+yi*yi)*(1+tanSTheta2)); |
---|
| 2923 | *n = G4ThreeVector( xi/rhoSecTheta, // N- |
---|
| 2924 | yi/rhoSecTheta, |
---|
| 2925 | -tanSTheta/std::sqrt(1+tanSTheta2)); |
---|
[831] | 2926 | *validNorm=true; |
---|
| 2927 | } |
---|
| 2928 | else *validNorm=false; // Concave STheta cone |
---|
| 2929 | break; |
---|
[850] | 2930 | |
---|
[831] | 2931 | case kETheta: |
---|
[850] | 2932 | if( ( fSTheta + fDTheta ) == halfpi ) |
---|
[831] | 2933 | { |
---|
[850] | 2934 | *n = G4ThreeVector(0.,0.,-1.); |
---|
| 2935 | *validNorm = true; |
---|
[831] | 2936 | } |
---|
[850] | 2937 | else if ( ( fSTheta + fDTheta ) < halfpi) |
---|
[831] | 2938 | { |
---|
| 2939 | xi=p.x()+snxt*v.x(); |
---|
| 2940 | yi=p.y()+snxt*v.y(); |
---|
[850] | 2941 | rhoSecTheta = std::sqrt((xi*xi+yi*yi)*(1+tanETheta2)); |
---|
[831] | 2942 | *n = G4ThreeVector( xi/rhoSecTheta, // N+ |
---|
| 2943 | yi/rhoSecTheta, |
---|
[850] | 2944 | -tanETheta/std::sqrt(1+tanETheta2) ); |
---|
[831] | 2945 | *validNorm=true; |
---|
| 2946 | } |
---|
| 2947 | else *validNorm=false; // Concave ETheta cone |
---|
| 2948 | break; |
---|
[850] | 2949 | |
---|
[831] | 2950 | default: |
---|
| 2951 | G4cout.precision(16); |
---|
| 2952 | G4cout << G4endl; |
---|
| 2953 | DumpInfo(); |
---|
| 2954 | G4cout << "Position:" << G4endl << G4endl; |
---|
| 2955 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl; |
---|
| 2956 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl; |
---|
| 2957 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl; |
---|
| 2958 | G4cout << "Direction:" << G4endl << G4endl; |
---|
| 2959 | G4cout << "v.x() = " << v.x() << G4endl; |
---|
| 2960 | G4cout << "v.y() = " << v.y() << G4endl; |
---|
| 2961 | G4cout << "v.z() = " << v.z() << G4endl << G4endl; |
---|
| 2962 | G4cout << "Proposed distance :" << G4endl << G4endl; |
---|
| 2963 | G4cout << "snxt = " << snxt/mm << " mm" << G4endl << G4endl; |
---|
| 2964 | G4Exception("G4Sphere::DistanceToOut(p,v,..)", |
---|
| 2965 | "Notification", JustWarning, |
---|
| 2966 | "Undefined side for valid surface normal to solid."); |
---|
| 2967 | break; |
---|
| 2968 | } |
---|
| 2969 | } |
---|
| 2970 | if (snxt == kInfinity) |
---|
| 2971 | { |
---|
| 2972 | G4cout.precision(24); |
---|
| 2973 | G4cout << G4endl; |
---|
| 2974 | DumpInfo(); |
---|
| 2975 | G4cout << "Position:" << G4endl << G4endl; |
---|
| 2976 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl; |
---|
| 2977 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl; |
---|
| 2978 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl; |
---|
| 2979 | G4cout << "Rp = "<< std::sqrt( p.x()*p.x()+p.y()*p.y()+p.z()*p.z() )/mm << " mm" |
---|
| 2980 | << G4endl << G4endl; |
---|
| 2981 | G4cout << "Direction:" << G4endl << G4endl; |
---|
| 2982 | G4cout << "v.x() = " << v.x() << G4endl; |
---|
| 2983 | G4cout << "v.y() = " << v.y() << G4endl; |
---|
| 2984 | G4cout << "v.z() = " << v.z() << G4endl << G4endl; |
---|
| 2985 | G4cout << "Proposed distance :" << G4endl << G4endl; |
---|
| 2986 | G4cout << "snxt = " << snxt/mm << " mm" << G4endl << G4endl; |
---|
| 2987 | G4Exception("G4Sphere::DistanceToOut(p,v,..)", |
---|
| 2988 | "Notification", JustWarning, |
---|
| 2989 | "Logic error: snxt = kInfinity ???"); |
---|
| 2990 | } |
---|
| 2991 | |
---|
| 2992 | return snxt; |
---|
| 2993 | } |
---|
| 2994 | |
---|
| 2995 | ///////////////////////////////////////////////////////////////////////// |
---|
| 2996 | // |
---|
| 2997 | // Calcluate distance (<=actual) to closest surface of shape from inside |
---|
| 2998 | |
---|
| 2999 | G4double G4Sphere::DistanceToOut( const G4ThreeVector& p ) const |
---|
| 3000 | { |
---|
| 3001 | G4double safe=0.0,safeRMin,safeRMax,safePhi,safeTheta; |
---|
| 3002 | G4double rho2,rad,rho; |
---|
| 3003 | G4double phiC,cosPhiC,sinPhiC,ePhi; |
---|
| 3004 | G4double pTheta,dTheta1,dTheta2; |
---|
| 3005 | rho2=p.x()*p.x()+p.y()*p.y(); |
---|
| 3006 | rad=std::sqrt(rho2+p.z()*p.z()); |
---|
| 3007 | rho=std::sqrt(rho2); |
---|
| 3008 | |
---|
| 3009 | #ifdef G4CSGDEBUG |
---|
| 3010 | if( Inside(p) == kOutside ) |
---|
| 3011 | { |
---|
| 3012 | G4cout.precision(16) ; |
---|
| 3013 | G4cout << G4endl ; |
---|
| 3014 | DumpInfo(); |
---|
| 3015 | G4cout << "Position:" << G4endl << G4endl ; |
---|
| 3016 | G4cout << "p.x() = " << p.x()/mm << " mm" << G4endl ; |
---|
| 3017 | G4cout << "p.y() = " << p.y()/mm << " mm" << G4endl ; |
---|
| 3018 | G4cout << "p.z() = " << p.z()/mm << " mm" << G4endl << G4endl ; |
---|
| 3019 | G4Exception("G4Sphere::DistanceToOut(p)", |
---|
| 3020 | "Notification", JustWarning, "Point p is outside !?" ); |
---|
| 3021 | } |
---|
| 3022 | #endif |
---|
| 3023 | |
---|
| 3024 | // |
---|
| 3025 | // Distance to r shells |
---|
| 3026 | // |
---|
| 3027 | if (fRmin) |
---|
| 3028 | { |
---|
| 3029 | safeRMin=rad-fRmin; |
---|
| 3030 | safeRMax=fRmax-rad; |
---|
| 3031 | if (safeRMin<safeRMax) |
---|
| 3032 | { |
---|
| 3033 | safe=safeRMin; |
---|
| 3034 | } |
---|
| 3035 | else |
---|
| 3036 | { |
---|
| 3037 | safe=safeRMax; |
---|
| 3038 | } |
---|
| 3039 | } |
---|
| 3040 | else |
---|
| 3041 | { |
---|
| 3042 | safe=fRmax-rad; |
---|
| 3043 | } |
---|
| 3044 | |
---|
| 3045 | // |
---|
| 3046 | // Distance to phi extent |
---|
| 3047 | // |
---|
| 3048 | if (fDPhi<twopi && rho) |
---|
| 3049 | { |
---|
| 3050 | phiC=fSPhi+fDPhi*0.5; |
---|
| 3051 | cosPhiC=std::cos(phiC); |
---|
| 3052 | sinPhiC=std::sin(phiC); |
---|
| 3053 | if ((p.y()*cosPhiC-p.x()*sinPhiC)<=0) |
---|
| 3054 | { |
---|
| 3055 | safePhi=-(p.x()*std::sin(fSPhi)-p.y()*std::cos(fSPhi)); |
---|
| 3056 | } |
---|
| 3057 | else |
---|
| 3058 | { |
---|
| 3059 | ePhi=fSPhi+fDPhi; |
---|
| 3060 | safePhi=(p.x()*std::sin(ePhi)-p.y()*std::cos(ePhi)); |
---|
| 3061 | } |
---|
| 3062 | if (safePhi<safe) safe=safePhi; |
---|
| 3063 | } |
---|
| 3064 | |
---|
| 3065 | // |
---|
| 3066 | // Distance to Theta extent |
---|
| 3067 | // |
---|
| 3068 | if (rad) |
---|
| 3069 | { |
---|
| 3070 | pTheta=std::acos(p.z()/rad); |
---|
| 3071 | if (pTheta<0) pTheta+=pi; |
---|
| 3072 | dTheta1=pTheta-fSTheta; |
---|
| 3073 | dTheta2=(fSTheta+fDTheta)-pTheta; |
---|
| 3074 | if (dTheta1<dTheta2) |
---|
| 3075 | { |
---|
| 3076 | safeTheta=rad*std::sin(dTheta1); |
---|
| 3077 | if (safe>safeTheta) |
---|
| 3078 | { |
---|
| 3079 | safe=safeTheta; |
---|
| 3080 | } |
---|
| 3081 | } |
---|
| 3082 | else |
---|
| 3083 | { |
---|
| 3084 | safeTheta=rad*std::sin(dTheta2); |
---|
| 3085 | if (safe>safeTheta) |
---|
| 3086 | { |
---|
| 3087 | safe=safeTheta; |
---|
| 3088 | } |
---|
| 3089 | } |
---|
| 3090 | } |
---|
| 3091 | |
---|
| 3092 | if (safe<0) safe=0; |
---|
| 3093 | return safe; |
---|
| 3094 | } |
---|
| 3095 | |
---|
| 3096 | ////////////////////////////////////////////////////////////////////////// |
---|
| 3097 | // |
---|
| 3098 | // Create a List containing the transformed vertices |
---|
| 3099 | // Ordering [0-3] -fDz cross section |
---|
| 3100 | // [4-7] +fDz cross section such that [0] is below [4], |
---|
| 3101 | // [1] below [5] etc. |
---|
| 3102 | // Note: |
---|
| 3103 | // Caller has deletion resposibility |
---|
| 3104 | // Potential improvement: For last slice, use actual ending angle |
---|
| 3105 | // to avoid rounding error problems. |
---|
| 3106 | |
---|
| 3107 | G4ThreeVectorList* |
---|
| 3108 | G4Sphere::CreateRotatedVertices( const G4AffineTransform& pTransform, |
---|
| 3109 | G4int& noPolygonVertices ) const |
---|
| 3110 | { |
---|
| 3111 | G4ThreeVectorList *vertices; |
---|
| 3112 | G4ThreeVector vertex; |
---|
| 3113 | G4double meshAnglePhi,meshRMax,crossAnglePhi, |
---|
| 3114 | coscrossAnglePhi,sincrossAnglePhi,sAnglePhi; |
---|
| 3115 | G4double meshTheta,crossTheta,startTheta; |
---|
| 3116 | G4double rMaxX,rMaxY,rMinX,rMinY,rMinZ,rMaxZ; |
---|
| 3117 | G4int crossSectionPhi,noPhiCrossSections,crossSectionTheta,noThetaSections; |
---|
| 3118 | |
---|
| 3119 | // Phi cross sections |
---|
| 3120 | |
---|
| 3121 | noPhiCrossSections=G4int (fDPhi/kMeshAngleDefault)+1; |
---|
| 3122 | |
---|
| 3123 | if (noPhiCrossSections<kMinMeshSections) |
---|
| 3124 | { |
---|
| 3125 | noPhiCrossSections=kMinMeshSections; |
---|
| 3126 | } |
---|
| 3127 | else if (noPhiCrossSections>kMaxMeshSections) |
---|
| 3128 | { |
---|
| 3129 | noPhiCrossSections=kMaxMeshSections; |
---|
| 3130 | } |
---|
| 3131 | meshAnglePhi=fDPhi/(noPhiCrossSections-1); |
---|
| 3132 | |
---|
| 3133 | // If complete in phi, set start angle such that mesh will be at fRMax |
---|
| 3134 | // on the x axis. Will give better extent calculations when not rotated. |
---|
| 3135 | |
---|
| 3136 | if (fDPhi==pi*2.0 && fSPhi==0) |
---|
| 3137 | { |
---|
| 3138 | sAnglePhi = -meshAnglePhi*0.5; |
---|
| 3139 | } |
---|
| 3140 | else |
---|
| 3141 | { |
---|
| 3142 | sAnglePhi=fSPhi; |
---|
| 3143 | } |
---|
| 3144 | |
---|
| 3145 | // Theta cross sections |
---|
| 3146 | |
---|
| 3147 | noThetaSections = G4int(fDTheta/kMeshAngleDefault)+1; |
---|
| 3148 | |
---|
| 3149 | if (noThetaSections<kMinMeshSections) |
---|
| 3150 | { |
---|
| 3151 | noThetaSections=kMinMeshSections; |
---|
| 3152 | } |
---|
| 3153 | else if (noThetaSections>kMaxMeshSections) |
---|
| 3154 | { |
---|
| 3155 | noThetaSections=kMaxMeshSections; |
---|
| 3156 | } |
---|
| 3157 | meshTheta=fDTheta/(noThetaSections-1); |
---|
| 3158 | |
---|
| 3159 | // If complete in Theta, set start angle such that mesh will be at fRMax |
---|
| 3160 | // on the z axis. Will give better extent calculations when not rotated. |
---|
| 3161 | |
---|
| 3162 | if (fDTheta==pi && fSTheta==0) |
---|
| 3163 | { |
---|
| 3164 | startTheta = -meshTheta*0.5; |
---|
| 3165 | } |
---|
| 3166 | else |
---|
| 3167 | { |
---|
| 3168 | startTheta=fSTheta; |
---|
| 3169 | } |
---|
| 3170 | |
---|
| 3171 | meshRMax = (meshAnglePhi >= meshTheta) ? |
---|
| 3172 | fRmax/std::cos(meshAnglePhi*0.5) : fRmax/std::cos(meshTheta*0.5); |
---|
| 3173 | G4double* cosCrossTheta = new G4double[noThetaSections]; |
---|
| 3174 | G4double* sinCrossTheta = new G4double[noThetaSections]; |
---|
| 3175 | vertices=new G4ThreeVectorList(); |
---|
| 3176 | vertices->reserve(noPhiCrossSections*(noThetaSections*2)); |
---|
| 3177 | if (vertices && cosCrossTheta && sinCrossTheta) |
---|
| 3178 | { |
---|
| 3179 | for (crossSectionPhi=0; |
---|
| 3180 | crossSectionPhi<noPhiCrossSections; crossSectionPhi++) |
---|
| 3181 | { |
---|
| 3182 | crossAnglePhi=sAnglePhi+crossSectionPhi*meshAnglePhi; |
---|
| 3183 | coscrossAnglePhi=std::cos(crossAnglePhi); |
---|
| 3184 | sincrossAnglePhi=std::sin(crossAnglePhi); |
---|
| 3185 | for (crossSectionTheta=0; |
---|
| 3186 | crossSectionTheta<noThetaSections;crossSectionTheta++) |
---|
| 3187 | { |
---|
| 3188 | // Compute coordinates of cross section at section crossSectionPhi |
---|
| 3189 | // |
---|
| 3190 | crossTheta=startTheta+crossSectionTheta*meshTheta; |
---|
| 3191 | cosCrossTheta[crossSectionTheta]=std::cos(crossTheta); |
---|
| 3192 | sinCrossTheta[crossSectionTheta]=std::sin(crossTheta); |
---|
| 3193 | |
---|
| 3194 | rMinX=fRmin*sinCrossTheta[crossSectionTheta]*coscrossAnglePhi; |
---|
| 3195 | rMinY=fRmin*sinCrossTheta[crossSectionTheta]*sincrossAnglePhi; |
---|
| 3196 | rMinZ=fRmin*cosCrossTheta[crossSectionTheta]; |
---|
| 3197 | |
---|
| 3198 | vertex=G4ThreeVector(rMinX,rMinY,rMinZ); |
---|
| 3199 | vertices->push_back(pTransform.TransformPoint(vertex)); |
---|
| 3200 | |
---|
| 3201 | } // Theta forward |
---|
| 3202 | |
---|
| 3203 | for (crossSectionTheta=noThetaSections-1; |
---|
| 3204 | crossSectionTheta>=0; crossSectionTheta--) |
---|
| 3205 | { |
---|
| 3206 | rMaxX=meshRMax*sinCrossTheta[crossSectionTheta]*coscrossAnglePhi; |
---|
| 3207 | rMaxY=meshRMax*sinCrossTheta[crossSectionTheta]*sincrossAnglePhi; |
---|
| 3208 | rMaxZ=meshRMax*cosCrossTheta[crossSectionTheta]; |
---|
| 3209 | |
---|
| 3210 | vertex=G4ThreeVector(rMaxX,rMaxY,rMaxZ); |
---|
| 3211 | vertices->push_back(pTransform.TransformPoint(vertex)); |
---|
| 3212 | |
---|
| 3213 | } // Theta back |
---|
| 3214 | } // Phi |
---|
| 3215 | noPolygonVertices = noThetaSections*2 ; |
---|
| 3216 | } |
---|
| 3217 | else |
---|
| 3218 | { |
---|
| 3219 | DumpInfo(); |
---|
| 3220 | G4Exception("G4Sphere::CreateRotatedVertices()", |
---|
| 3221 | "FatalError", FatalException, |
---|
| 3222 | "Error in allocation of vertices. Out of memory !"); |
---|
| 3223 | } |
---|
| 3224 | |
---|
| 3225 | delete[] cosCrossTheta; |
---|
| 3226 | delete[] sinCrossTheta; |
---|
| 3227 | |
---|
| 3228 | return vertices; |
---|
| 3229 | } |
---|
| 3230 | |
---|
| 3231 | ////////////////////////////////////////////////////////////////////////// |
---|
| 3232 | // |
---|
| 3233 | // G4EntityType |
---|
| 3234 | |
---|
| 3235 | G4GeometryType G4Sphere::GetEntityType() const |
---|
| 3236 | { |
---|
| 3237 | return G4String("G4Sphere"); |
---|
| 3238 | } |
---|
| 3239 | |
---|
| 3240 | ////////////////////////////////////////////////////////////////////////// |
---|
| 3241 | // |
---|
| 3242 | // Stream object contents to an output stream |
---|
| 3243 | |
---|
| 3244 | std::ostream& G4Sphere::StreamInfo( std::ostream& os ) const |
---|
| 3245 | { |
---|
| 3246 | os << "-----------------------------------------------------------\n" |
---|
| 3247 | << " *** Dump for solid - " << GetName() << " ***\n" |
---|
| 3248 | << " ===================================================\n" |
---|
| 3249 | << " Solid type: G4Sphere\n" |
---|
| 3250 | << " Parameters: \n" |
---|
| 3251 | << " inner radius: " << fRmin/mm << " mm \n" |
---|
| 3252 | << " outer radius: " << fRmax/mm << " mm \n" |
---|
| 3253 | << " starting phi of segment : " << fSPhi/degree << " degrees \n" |
---|
| 3254 | << " delta phi of segment : " << fDPhi/degree << " degrees \n" |
---|
| 3255 | << " starting theta of segment: " << fSTheta/degree << " degrees \n" |
---|
| 3256 | << " delta theta of segment : " << fDTheta/degree << " degrees \n" |
---|
| 3257 | << "-----------------------------------------------------------\n"; |
---|
| 3258 | |
---|
| 3259 | return os; |
---|
| 3260 | } |
---|
| 3261 | |
---|
| 3262 | //////////////////////////////////////////////////////////////////////////////// |
---|
| 3263 | // |
---|
| 3264 | // GetPointOnSurface |
---|
| 3265 | |
---|
| 3266 | G4ThreeVector G4Sphere::GetPointOnSurface() const |
---|
| 3267 | { |
---|
| 3268 | G4double zRand, aOne, aTwo, aThr, aFou, aFiv, chose, phi, sinphi, cosphi; |
---|
| 3269 | G4double height1, height2, slant1, slant2, costheta, sintheta,theta,rRand; |
---|
| 3270 | |
---|
| 3271 | height1 = (fRmax-fRmin)*std::cos(fSTheta); |
---|
| 3272 | height2 = (fRmax-fRmin)*std::cos(fSTheta+fDTheta); |
---|
| 3273 | slant1 = std::sqrt(sqr((fRmax - fRmin)*std::sin(fSTheta)) |
---|
| 3274 | + height1*height1); |
---|
| 3275 | slant2 = std::sqrt(sqr((fRmax - fRmin)*std::sin(fSTheta+fDTheta)) |
---|
| 3276 | + height2*height2); |
---|
| 3277 | rRand = RandFlat::shoot(fRmin,fRmax); |
---|
| 3278 | |
---|
| 3279 | aOne = fRmax*fRmax*fDPhi*(std::cos(fSTheta)-std::cos(fSTheta+fDTheta)); |
---|
| 3280 | aTwo = fRmin*fRmin*fDPhi*(std::cos(fSTheta)-std::cos(fSTheta+fDTheta)); |
---|
| 3281 | aThr = fDPhi*((fRmax + fRmin)*std::sin(fSTheta))*slant1; |
---|
| 3282 | aFou = fDPhi*((fRmax + fRmin)*std::sin(fSTheta+fDTheta))*slant2; |
---|
| 3283 | aFiv = 0.5*fDTheta*(fRmax*fRmax-fRmin*fRmin); |
---|
| 3284 | |
---|
| 3285 | phi = RandFlat::shoot(fSPhi, fSPhi + fDPhi); |
---|
| 3286 | cosphi = std::cos(phi); |
---|
| 3287 | sinphi = std::sin(phi); |
---|
| 3288 | theta = RandFlat::shoot(fSTheta,fSTheta+fDTheta); |
---|
| 3289 | costheta = std::cos(theta); |
---|
| 3290 | sintheta = std::sqrt(1.-sqr(costheta)); |
---|
| 3291 | |
---|
| 3292 | if( ((fSPhi==0) && (fDPhi==2.*pi)) || (fDPhi==2.*pi) ) {aFiv = 0;} |
---|
| 3293 | if(fSTheta == 0) {aThr=0;} |
---|
| 3294 | if(fDTheta + fSTheta == pi) {aFou = 0;} |
---|
| 3295 | if(fSTheta == 0.5*pi) {aThr = pi*(fRmax*fRmax-fRmin*fRmin);} |
---|
| 3296 | if(fSTheta + fDTheta == 0.5*pi) { aFou = pi*(fRmax*fRmax-fRmin*fRmin);} |
---|
| 3297 | |
---|
| 3298 | chose = RandFlat::shoot(0.,aOne+aTwo+aThr+aFou+2.*aFiv); |
---|
| 3299 | if( (chose>=0.) && (chose<aOne) ) |
---|
| 3300 | { |
---|
| 3301 | return G4ThreeVector(fRmax*sintheta*cosphi, |
---|
| 3302 | fRmax*sintheta*sinphi, fRmax*costheta); |
---|
| 3303 | } |
---|
| 3304 | else if( (chose>=aOne) && (chose<aOne+aTwo) ) |
---|
| 3305 | { |
---|
| 3306 | return G4ThreeVector(fRmin*sintheta*cosphi, |
---|
| 3307 | fRmin*sintheta*sinphi, fRmin*costheta); |
---|
| 3308 | } |
---|
| 3309 | else if( (chose>=aOne+aTwo) && (chose<aOne+aTwo+aThr) ) |
---|
| 3310 | { |
---|
| 3311 | if (fSTheta != 0.5*pi) |
---|
| 3312 | { |
---|
| 3313 | zRand = RandFlat::shoot(fRmin*std::cos(fSTheta),fRmax*std::cos(fSTheta)); |
---|
| 3314 | return G4ThreeVector(std::tan(fSTheta)*zRand*cosphi, |
---|
| 3315 | std::tan(fSTheta)*zRand*sinphi,zRand); |
---|
| 3316 | } |
---|
| 3317 | else |
---|
| 3318 | { |
---|
| 3319 | return G4ThreeVector(rRand*cosphi, rRand*sinphi, 0.); |
---|
| 3320 | } |
---|
| 3321 | } |
---|
| 3322 | else if( (chose>=aOne+aTwo+aThr) && (chose<aOne+aTwo+aThr+aFou) ) |
---|
| 3323 | { |
---|
| 3324 | if(fSTheta + fDTheta != 0.5*pi) |
---|
| 3325 | { |
---|
| 3326 | zRand = RandFlat::shoot(fRmin*std::cos(fSTheta+fDTheta), |
---|
| 3327 | fRmax*std::cos(fSTheta+fDTheta)); |
---|
| 3328 | return G4ThreeVector (std::tan(fSTheta+fDTheta)*zRand*cosphi, |
---|
| 3329 | std::tan(fSTheta+fDTheta)*zRand*sinphi,zRand); |
---|
| 3330 | } |
---|
| 3331 | else |
---|
| 3332 | { |
---|
| 3333 | return G4ThreeVector(rRand*cosphi, rRand*sinphi, 0.); |
---|
| 3334 | } |
---|
| 3335 | } |
---|
| 3336 | else if( (chose>=aOne+aTwo+aThr+aFou) && (chose<aOne+aTwo+aThr+aFou+aFiv) ) |
---|
| 3337 | { |
---|
| 3338 | return G4ThreeVector(rRand*sintheta*std::cos(fSPhi), |
---|
| 3339 | rRand*sintheta*std::sin(fSPhi),rRand*costheta); |
---|
| 3340 | } |
---|
| 3341 | else |
---|
| 3342 | { |
---|
| 3343 | return G4ThreeVector(rRand*sintheta*std::cos(fSPhi+fDPhi), |
---|
| 3344 | rRand*sintheta*std::sin(fSPhi+fDPhi),rRand*costheta); |
---|
| 3345 | } |
---|
| 3346 | } |
---|
| 3347 | |
---|
| 3348 | ///////////////////////////////////////////////////////////////////////////// |
---|
| 3349 | // |
---|
| 3350 | // Methods for visualisation |
---|
| 3351 | |
---|
| 3352 | G4VisExtent G4Sphere::GetExtent() const |
---|
| 3353 | { |
---|
| 3354 | return G4VisExtent(-fRmax, fRmax,-fRmax, fRmax,-fRmax, fRmax ); |
---|
| 3355 | } |
---|
| 3356 | |
---|
| 3357 | |
---|
| 3358 | void G4Sphere::DescribeYourselfTo ( G4VGraphicsScene& scene ) const |
---|
| 3359 | { |
---|
| 3360 | scene.AddSolid (*this); |
---|
| 3361 | } |
---|
| 3362 | |
---|
| 3363 | G4Polyhedron* G4Sphere::CreatePolyhedron () const |
---|
| 3364 | { |
---|
| 3365 | return new G4PolyhedronSphere (fRmin, fRmax, fSPhi, fDPhi, fSTheta, fDTheta); |
---|
| 3366 | } |
---|
| 3367 | |
---|
| 3368 | G4NURBS* G4Sphere::CreateNURBS () const |
---|
| 3369 | { |
---|
| 3370 | return new G4NURBSbox (fRmax, fRmax, fRmax); // Box for now!!! |
---|
| 3371 | } |
---|